title stringlengths 1 131 | url stringlengths 33 167 | content stringlengths 0 637k |
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adiabatic quantum computation | https://ncatlab.org/nlab/source/adiabatic+quantum+computation |
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#### Computation
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#### Quantum systems
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## Idea
By *adiabati... |
adiabatic switching | https://ncatlab.org/nlab/source/adiabatic+switching |
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#### Algebraic Quantum Field Theory
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## Idea
### Adiabatic switching
In [[perturbative quantum field the... |
adic noetherian ring | https://ncatlab.org/nlab/source/adic+noetherian+ring |
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#### Algebra
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#### Formal geometry
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## Idea
A [[topological ri... |
adic residual | https://ncatlab.org/nlab/source/adic+residual |
#Contents#
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## Idea
Forming the [[kernel]] of an [[adic completion]] map is sometimes called forming the _adic residual_, for instance the _$p$-residual_ for $p$-adic completion.
## Properties
### Explicit characterization
For $A$ a [[commutative ring]] and $\mathfrak{a} \subset A$ an id... |
adic ring > history | https://ncatlab.org/nlab/source/adic+ring+%3E+history | |
adic space | https://ncatlab.org/nlab/source/adic+space |
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## Idea
__Adic spaces__ are the basic objects in Huber's approach to [[non-archimedean analytic geometry... |
adic topology > history | https://ncatlab.org/nlab/source/adic+topology+%3E+history | < [[adic topology]] |
adinkra | https://ncatlab.org/nlab/source/adinkra |
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#### Superalgebra
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## Ide... |
Adj | https://ncatlab.org/nlab/source/Adj |
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## Idea
The [[2-category]] $Adj$ is the free-standing adjunction ([[walking]] adjunction).
... |
adjacency matrix | https://ncatlab.org/nlab/source/adjacency+matrix |
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#### Graph theory
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## Definition
In [[graph theory]], an **adjacency matrix** for a [[finite set|finite]] [[multigraph]] or [[pseudograph]] with $n$ ... |
adjoint | https://ncatlab.org/nlab/source/adjoint |
## In linear algebra
The term _adjoint_ originates in [[linear algebra]], where it may refer, in increasing generality, to:
* [[adjoint matrix]]
* [[Hermitian adjoint]]
* [[adjoint operator]]
## In category theory
In [[category theory]], the term "adjoint" foremost refers to "[[adjoint functors]]"... |
adjoint (infinity,1)-functor | https://ncatlab.org/nlab/source/adjoint+%28infinity%2C1%29-functor | +-- {: .rightHandSide}
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## Idea
The notion of adjunction between two [[(∞,1)-functors]] generalizes the no... |
adjoint (infinity,1)-functor theorem | https://ncatlab.org/nlab/source/adjoint+%28infinity%2C1%29-functor+theorem |
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## Idea
The analogs in [[(∞,1)-category]] theory of the [[adjoint ... |
adjoint action | https://ncatlab.org/nlab/source/adjoint+action |
> This entry is about _conjugation_ in the sense of adjoint actions, as in forming [[conjugacy classes]]. For conjugation in the sense of [[anti-involutions]] on [[star algebras]] see at _[[complex conjugation]]_.
***
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#### Algebra
... |
adjoint bundle | https://ncatlab.org/nlab/source/adjoint+bundle | [[!redirects adjoint bundles]]
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#### Bundles
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## Definition
For $G$ a [[Lie group]] and $\mathfrak{g}$ its [[Lie algebra]], and for $P \to X$ a $G$-[[... |
adjoint equivalence | https://ncatlab.org/nlab/source/adjoint+equivalence |
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#### Equality and Equivalence
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adjoint functor | https://ncatlab.org/nlab/source/adjoint+functor | +-- {: .rightHandSide}
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> (The special case in [[Cat]] of the general notion of *[[adjunction]]*.)
#Contents#
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## Idea
{#Idea}
T... |
adjoint functor theorem | https://ncatlab.org/nlab/source/adjoint+functor+theorem |
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* table of contents
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## Idea
_Adjoint functor theorems_ are theorems stating that under certain conditions a [[functor]] th... |
adjoint lifting theorem | https://ncatlab.org/nlab/source/adjoint+lifting+theorem |
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* table of contents
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## Statement ##
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###### Theorem
**(The adjoint lifting theorem)**. Consider t... |
adjoint logic | https://ncatlab.org/nlab/source/adjoint+logic |
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#### Type theory
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#### Modalities, Closure and Reflection
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#### Duality
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adjoint modality | https://ncatlab.org/nlab/source/adjoint+modality | [[!redirects adjoint cylinder]]
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#### Modalities, Closure and Reflection
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adjoint monad | https://ncatlab.org/nlab/source/adjoint+monad |
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## Definition
... |
adjoint morphism | https://ncatlab.org/nlab/source/adjoint+morphism |
A [[morphism]] participating in an [[adjunction]].
[[!redirects adjoint morphisms]]
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adjoint operator | https://ncatlab.org/nlab/source/adjoint+operator | +-- {: .rightHandSide}
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#### Functional analysis
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## Definition
Let $A: H\to H$ be an [[unbounded operator]] on a [[Hilbert space]] $H$. An ... |
adjoint quadruple | https://ncatlab.org/nlab/source/adjoint+quadruple |
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## Definition
An **adjoint quadruple** is a sequence of three [[adjunctions]]
$$
f_! \dashv f^... |
adjoint representation | https://ncatlab.org/nlab/source/adjoint+representation |
Every [[Lie group]] $G$ has a canonical [[representation]] on the [[vector space]] underlying its [[Lie algebra]] $\mathfrak{g}$, given by the [[derivative]] of its [[adjoint action]] at the neutral element. This is called the _adjoint representation_.
The [[associated bundles]] via the adjoint representation are c... |
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# Adjoint strings
* table of contents
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## Definition
In [[category theory]],
an **adjoint string of length $n$**, **adjoint chain ... |
adjoint triangle theorem | https://ncatlab.org/nlab/source/adjoint+triangle+theorem |
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# The adjoint triangle theorem
* automatic table of contents
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## Idea
The **adjoint triangle theorem** in [[category theory]] gives ... |
adjoint triple | https://ncatlab.org/nlab/source/adjoint+triple |
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> This entry is about the notion of _adjoint triple_ involving three functors. This is not to be confused with the notion of [[adjoint monads]], whi... |
adjointification zigzag identity - SVG | https://ncatlab.org/nlab/source/adjointification+zigzag+identity+-+SVG | <svg width="600" height="200" xmlns="http://www.w3.org/2000/svg" xmlns:se="http://svg-edit.googlecode.com" se:nonce="26444">
<g>
<title>Layer 1</title>
<path id="svg_26444_2" d="m91,175l1,-86c2.666687,-27 -27.666672,-35 -28,0c0.333328,30 -29.333328,25 -29,0c1.333328,-64.333336 85.666687,-63.666664 86,0c-2,100.6666... |
Adjointness for 2-Categories | https://ncatlab.org/nlab/source/Adjointness+for+2-Categories |
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This entry is about the book
* [[John Gray]],
_Form... |
Adjointness in Foundations | https://ncatlab.org/nlab/source/Adjointness+in+Foundations |
This page collects links related to the text
* [[William Lawvere]],
_Adjointness in Foundations_,
Dialectica 23 (1969), 281-296,
Reprints in Theory and Applications of Categories, No. 16 (2006), pp 1-16 (revised 2006-10-30)
([TAC](http://www.emis.de/journals/TAC/reprints/articles/16/tr16abs.... |
adjoints preserve (co-)limits | https://ncatlab.org/nlab/source/adjoints+preserve+%28co-%29limits |
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#### Limits and colimits
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## Idea
One of... |
adjunct | https://ncatlab.org/nlab/source/adjunct |
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## Definition
A pair
$$
(L \dashv R) : C \stackrel{\overset{L}{\leftarrow}}{\underset{R}{\... |
adjunction | https://ncatlab.org/nlab/source/adjunction |
> This page is about adjunctions in general [[2-categories]]. Specifically for the common case of adjunctions in [[Cat]] see at *[[adjoint functors]]*. For the notion of "adjunction of a set to a field" in [[field theory]], see [[field extension]].
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adjunction > zigzagepsilon | https://ncatlab.org/nlab/source/adjunction+%3E+zigzagepsilon | <svg xmlns="http://www.w3.org/2000/svg" width="8.5em" height="2em" viewBox="0 0 85 20">
<path marker-end='url(#svg195arrowhead)' stroke-width="1" stroke="#000" fill="none" d="M5 5q40 28 75 0"/>
<foreignObject height='20' width='20' x='40' y='0' font-size='10'><math xmlns="http://www.w3.org/1998/Math... |
adjunction > zigzageta | https://ncatlab.org/nlab/source/adjunction+%3E+zigzageta | <svg xmlns="http://www.w3.org/2000/svg" width="8.5em" height="2em" viewBox="0 0 85 20">
<defs>
<marker id='svg195arrowhead' markerHeight='5' markerUnits='strokeWidth' markerWidth='8' orient='auto' refX='0' refY='5' viewBox='0 0 10 10'>
<path d='M 0 0 L 10 5 L 0 10 z'/>
</... |
adjunction > zigzageta > history | https://ncatlab.org/nlab/source/adjunction+%3E+zigzageta+%3E+history | < [[adjunction > zigzageta]]
[[!redirects adjunction/zigzag]]
[[!redirects adjunction/zigzageta]]
[[!redirects adjunction/zigzag -- history]] |
adjunction between topological spaces and diffeological spaces | https://ncatlab.org/nlab/source/adjunction+between+topological+spaces+and+diffeological+spaces |
+-- {: .num_prop #AdjunctionBetweenTopologicalSpacesAndDiffeologicalSpaces}
###### Proposition
**([[adjunction between topological spaces and diffeological spaces]])**
There is a pair of [[adjoint functors]]
\[
\label{AdjointFunctorsBetweenTopSpAndDifflgSp}
TopSp
\underoverset{
\underset{
... |
adjunction of dg-categories | https://ncatlab.org/nlab/source/adjunction+of+dg-categories | ## Idea
...
## References
See section 2.1 in
* [[B. Toen]], _Derived Azumaya algebras and generators for twisted derived categories_, [arXiv:1002.2599](http://arxiv.org/abs/1002.2599).
[[!redirects adjunctions of dg-categories]]
|
adjusted connection | https://ncatlab.org/nlab/source/adjusted+connection |
## Idea
A notion of connection for [[principal ∞-bundles]] that does not impose the fake flatness condition.
## Related concepts
* [[adjusted Weil algebra]]
## References
The construction of non-fake flat [[principal ∞-connections]] originates with
* {#FSS12} [[Domenico Fiorenza]], [[Urs Schreiber]... |
adjusted Weil algebra | https://ncatlab.org/nlab/source/adjusted+Weil+algebra |
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## Idea
The traditional notion of *[[connection on a principal bundle]]* with given [[str... |
ADM mass | https://ncatlab.org/nlab/source/ADM+mass |
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{:toc}
## Idea
In [[general relativity]] the _ADM mass_ is a notion of total [[mass]] contained in [[asymptotically fl... |
admin > history | https://ncatlab.org/nlab/source/admin+%3E+history | |
Admir Greljo | https://ncatlab.org/nlab/source/Admir+Greljo |
* [institute page](https://theory.cern/roster/greljo-admir)
## Selected writings
On [[flavour anomalies]] and [[leptoquarks]]:
* {#GST21} [[Admir Greljo]], [[Peter Stangl]], Anders Eller Thomsen, _A Model of Muon Anomalies_ ([arXiv:2103.13991](https://arxiv.org/abs/2103.13991))
category: people |
admissible rule | https://ncatlab.org/nlab/source/admissible+rule |
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#### Type theory
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\tableofcontents
## Idea
An [[inference rule]] in a... |
admissible subcategory | https://ncatlab.org/nlab/source/admissible+subcategory | A **right-admissible subcategory** (resp. left admissible subcategory) of a [[triangulated category]] $A$ is a strictly [[full]] [[triangulated subcategory]] $B$ such that the inclusion functor $i : B \hookrightarrow A$ admits a right adjoint $i_*$ (resp. a left adjoint $i^*$). It is called simply **admissible** if it... |
Adolf Hurwitz | https://ncatlab.org/nlab/source/Adolf+Hurwitz |
* [Wikipedia entry](http://en.wikipedia.org/wiki/Adolf_Hurwitz)
## Selected writings
On [[branched cover|branched]] [[Riemann surfaces]] and [[braid groups]] as [[fundamental groups]] of [[configuration spaces of points]]:
* [[Adolf Hurwitz]], *Über Riemann'sche Flächen mit gegebenen Verzweigungspunk... |
Adrian Clingher | https://ncatlab.org/nlab/source/Adrian+Clingher |
* [webpage](http://math.stanford.edu/~clingher/)
## related $n$Lab entries
* [[Sen limit]]
category: people |
Adrian Clough | https://ncatlab.org/nlab/source/Adrian+Clough |
* member of [[CQTS]]
* [institute page](https://nyuad.nyu.edu/en/research/faculty-labs-and-projects/cqts/christopher-adrian-clough.html) at NYU Abu Dhabi
* [personal webpage](https://adrianclough.github.io/)
## Selected writings
On pro-algebraic resolutions of [[regular schemes]]:
* [[Adrian Clough]]... |
Adrian Norbert Schellekens | https://ncatlab.org/nlab/source/Adrian+Norbert+Schellekens |
* [webpage](http://www.nikhef.nl/~t58/Site/Home.html)
* [articles on arXiv](https://arxiv.org/search/?searchtype=author&query=Schellekens%2C+A)
Bert Schellekens has been working on [[2d CFT]] and specifically [[SCFT]] in relation to [[model building]] in [[string phenomenology]]. In particular he studied ... |
Adrian Ocneanu | https://ncatlab.org/nlab/source/Adrian+Ocneanu | Adrian Ocneanu is a Romanian origin mathematician working in Penn State. His research is in Operator Algebras.
* [Wikipedia page](http://en.wikipedia.org/wiki/Adrian_Ocneanu)
* [Genealogy project entry](http://genealogy.math.ndsu.nodak.edu/id.php?id=3326)
category: people
[[!redirects A. Ocneanu]] |
Adriano Barenco | https://ncatlab.org/nlab/source/Adriano+Barenco |
## Selected writings
Influential early discussion of ([[controlled quantum gate|controlled]]) [[quantum logic gates]]:
* {#BBCDMSSSW95} [[Adriano Barenco]], [[Charles H. Bennett]], [[Richard Cleve]], [[David P. DiVincenzo]], [[Norman Margolus]], [[Peter Shor]], [[Tycho Sleator]], [[John A. Smolin]], [[Harald ... |
Adrien Bouhon | https://ncatlab.org/nlab/source/Adrien+Bouhon |
* [GoogleScholar page](https://scholar.google.com/citations?user=me2JMkUAAAAJ&hl=en)
* [institute page](https://www.su.se/english/profiles/adbo4636-1.383815)
## Selected writings
On [[braid group statistics|anyonic braiding]] of nodal points in the [[Brillouin zone]] of [[semi-metals]] ("braiding in moment... |
Adrien Brochier | https://ncatlab.org/nlab/source/Adrien+Brochier |
* [webpage](http://abrochier.org/index.php)
## Selected writings
On [[horizontal chord diagrams]] and [[Vassiliev braid invariants]]:
* [[Adrien Brochier]], _Cyclotomic associators and finite type invariants for tangles in the solid torus_, Algebr. Geom. Topol. 13 (2013) 3365-3409 ([arXiv:1209.0417](https://... |
Adrien Douady | https://ncatlab.org/nlab/source/Adrien+Douady |
* [Wikipedia entry](http://en.wikipedia.org/wiki/Adrien_Douady)
category: people |
Adrien-Marie Legendre | https://ncatlab.org/nlab/source/Adrien-Marie+Legendre |
* [St. Andrews History of mathematics entry](http://www-history.mcs.st-andrews.ac.uk/history/Biographies/Legendre.html)
## related $n$Lab entries
* [[Legendre transform]]
category:people
[[!redirects Legendre]]
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AdS-CFT correspondence | https://ncatlab.org/nlab/source/AdS-CFT+correspondence |
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* table ... |
AdS-CFT in condensed matter physics | https://ncatlab.org/nlab/source/AdS-CFT+in+condensed+matter+physics |
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## Idea
... |
AdS-QCD correspondence | https://ncatlab.org/nlab/source/AdS-QCD+correspondence | +-- {: .rightHandSide}
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... |
AdS2-CFT1 -- references | https://ncatlab.org/nlab/source/AdS2-CFT1+--+references |
[[!include SYK-model and AdS2-CFT1 -- references]]
Discussion of [[small N corrections]] via a [[lattice QFT]]-Ansatz on the AdS side:
* Richard C. Brower, Cameron V. Cogburn, A. Liam Fitzpatrick, Dean Howarth, Chung-I Tan, _Lattice Setup for Quantum Field Theory in $AdS_2$_ ([arXiv:1912.07606](https://arxiv.... |
AdS3-CFT2 and CS-WZW correspondence | https://ncatlab.org/nlab/source/AdS3-CFT2+and+CS-WZW+correspondence |
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* table of c... |
AdS3-CFT2 on D1-D5 branes -- references | https://ncatlab.org/nlab/source/AdS3-CFT2+on+D1-D5+branes+--+references | [[!redirects AdS3/CFT2 on D1/D5 branes -- references]]
### $AdS_3/CFT_2$ on D1/D5 branes
On [[AdS3-CFT2]] for [[D1/D5 brane bound states]] and [[black hole entropy]] [[black holes in string theory|in string theory]]:
* {#Maldacena97a} [[Juan Maldacena]], Section 4 of: _The Large N limit of superconformal f... |
AdS3-CFT2 on D2-D4-D6-D8 branes -- references | https://ncatlab.org/nlab/source/AdS3-CFT2+on+D2-D4-D6-D8+branes+--+references | [[!redirects AdS3/CFT2 on D2/D4-D6/D8 branes -- references]]
### $AdS_3/CFT_2$ on D2/D4-D6/D8 branes
On [[black brane|black]]$\;$[[D6-D8-brane bound states]] in [[massive type IIA string theory]], with [[defect QFT|defect]] [[D2-D4-brane bound states]] inside them realizing [[AdS3-CFT2]] as [[defect field theor... |
advanced and retarded causal propagators | https://ncatlab.org/nlab/source/advanced+and+retarded+causal+propagators |
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#### Differential geometry
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*... |
Ady Stern | https://ncatlab.org/nlab/source/Ady+Stern |
* [Wikipedia entry](https://en.wikipedia.org/wiki/Ady_Stern)
* [Institute page](https://webhome.weizmann.ac.il/home/stern/)
## Selected writings
On [[anyons]] in the [[quantum Hall effect]]:
* [[Ady Stern]], _Anyons and the quantum Hall effect -- A pedagogical review_, Annals of Physics Volume 323, Issue ... |
Adámek's fixed point theorem | https://ncatlab.org/nlab/source/Ad%C3%A1mek%27s+fixed+point+theorem | +-- {: .rightHandSide}
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### Context
#### Algebra
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#### Induction
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# Contents
* table of contents
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# Idea
_Adámek's fixed point theorem_ g... |
Aeysha Khalique | https://ncatlab.org/nlab/source/Aeysha+Khalique |
* [institute page](https://sns.nust.edu.pk/faculty/aeysha-khalique/)
* [GoogleScholar page](https://scholar.google.ca/citations?user=mKbWAvcAAAAJ&hl=en)
## Selected writings
On practical realization of [[quantum teleportation]]:
* Syed Tahir Amin, [[Aeysha Khalique]], *Practical Quantum Teleportation of a... |
affiliated operator | https://ncatlab.org/nlab/source/affiliated+operator | ## Motivation
Most of the applications of operator algebras stuck in the problem that (hermitean or not) unbounded operators do not form an algebra under composition (or under Jordan multiplication); while the algebras of bounded operators are insufficient as most of applications involve also unbounded operators like ... |
affine algebra | https://ncatlab.org/nlab/source/affine+algebra | Given a field $k$ an __affine algebra__ is any finitely generated [[noetherian ring|noetherian]] associative commutative unital $k$-algebra without [[nilpotent elements]]. This term is limited to a small community of algebraists and may bring confusion if quoted outside of that context. The name is from the fact that t... |
affine connection | https://ncatlab.org/nlab/source/affine+connection |
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* table of cont... |
affine Grassmannian | https://ncatlab.org/nlab/source/affine+Grassmannian |
#Contents#
* table of contents
{:toc}
## Idea
According to [wikipedia](https://en.wikipedia.org/wiki/Affine_Grassmannian),
> the affine Grassmannian of an algebraic group $G$ over a field $k$ is an [[ind-scheme]] which can be thought of as a flag variety for the loop group $G(k((t)))$
The affine Gras... |
affine group | https://ncatlab.org/nlab/source/affine+group |
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## Definition
Given an [[affine space]] underlying a [[vector space]] $V$, then its _affine group_ is its group of [[automo... |
affine group scheme | https://ncatlab.org/nlab/source/affine+group+scheme | > Distinguish from the notion of a group of affine transformations (of an affine space) or the (general) affine group.
## Definition
An __affine group scheme__ is a [[group object]] (hence a [[group scheme]]) [[internalization|internal]] to the [[category]] of [[affine schemes]].
## Related notions
If $k$ ... |
affine Lie algebra | https://ncatlab.org/nlab/source/affine+Lie+algebra |
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## Idea
__Affine Lie algebras... |
affine line | https://ncatlab.org/nlab/source/affine+line |
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#### Geometry
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## Idea
For every [[Lawvere theory]] $T$ containing the theory of [[abelian group]]s [[Isbell duality|Isbell... |
affine localization | https://ncatlab.org/nlab/source/affine+localization | A **[[localization functor]]** $Q^* : A\to B$ is **affine** if it has a right adjoint $Q_*$ (which is automatically fully faithful, i.e. the localized category if reflective), and which itself is having its own right adjoint $Q^!$. Therefore $Q^*\dashv Q_* \dashv Q^!$.
For example, every left [[Ore localization]] of [... |
affine logic | https://ncatlab.org/nlab/source/affine+logic |
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### Context
#### Foundations
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#### Monoidal categories
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affine modality | https://ncatlab.org/nlab/source/affine+modality |
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## Idea
Given a suitable [[line object]] $\mathbb... |
affine monad | https://ncatlab.org/nlab/source/affine+monad | +-- {: .rightHandSide}
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### Context
#### Monoidal categories
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## Idea... |
affine morphism | https://ncatlab.org/nlab/source/affine+morphism |
# Affine morphisms
* table of contents
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## Idea and definition
An affine morphism of [[schemes]] is a relative version of an [[affine scheme]]: given a scheme $X$, the canonical morphism $X \to Spec \mathbb{Z}$ is affine iff $X$ is an affine scheme. By the basics of [[spectrum|spectra]], every morphism of aff... |
affine scheme | https://ncatlab.org/nlab/source/affine+scheme | [[!redirects affine schemes]]
#Contents#
* table of contents
{:toc}
## Definition
### General
An __affine scheme__ is a [[scheme]] that as a [[sheaf]] on the [[opposite category]] [[CRing]]${}^{op}$ of commutative [[ring]]s (or equivalently as a sheaf on the subcategory of finitely presented rings) is [[r... |
affine space | https://ncatlab.org/nlab/source/affine+space |
# Contents
* table of contents
{: toc}
## Idea
An __affine space__ or __affine linear space__ is a [[vector space]] that has forgotten its origin. An __affine linear map__ (a morphism of affine spaces) is a linear map (a morphism of vector spaces) that need not preserve the origin.
Note that the 'linear f... |
affine symplectic group | https://ncatlab.org/nlab/source/affine+symplectic+group |
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## Definition
Given a [[symplectic v... |
affine variety | https://ncatlab.org/nlab/source/affine+variety |
#Contents#
* table of contents
{:toc}
## Idea
__Affine__ $k$-variety is a locus of zeros of a set of polynomials in the affine $n$-dimensional space $\mathbf{A}^n_k$. Usually $k$ is taken to be a field.
## Definition
Given a field $k$, an __affine $k$-variety__ is a [[maximal spectrum]] (= set of [[maximal ideals... |
affinoid | https://ncatlab.org/nlab/source/affinoid |
#Contents#
* table of contents
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## Idea
In [[analytic geometry]], an _affinoid_ is a sub-[[space]] of a unit [[polydisc]], formally dual to an [[affinoid algebra]] (see there for more). These are the basic spaces out of which [[analytic spaces]] are built by gluing.
## References
* Wikipedia, _[R... |
affinoid algebra | https://ncatlab.org/nlab/source/affinoid+algebra |
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## Idea
An _affinoid alge... |
affinoid domain | https://ncatlab.org/nlab/source/affinoid+domain |
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## Idea
In the context of [[non-archimedean analytic geometry]], affinoid domains are basic model [[spaces]]: a [... |
affinoid space | https://ncatlab.org/nlab/source/affinoid+space |
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## Definition
The [[category]] of **$k$-[[affinoid spaces]]** is the [[opposite category]] of the category of $k$... |
Agda | https://ncatlab.org/nlab/source/Agda |
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#### Type theory
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#### Constructivism, Computability
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## Overview
... |
age | https://ncatlab.org/nlab/source/age | In [[model theory]], an age of a [[structure in model theory|structure]] $M$ is the set $Age(M)$ of all finite structures which are embeddable in $M$.
* related entries: [[amalgamation]]
* wikipedia: [age (model theory)](http://en.wikipedia.org/wiki/Age_%28model_theory%29)
* J D Brody, _Model theory of graphs_, thesi... |
Agnese Bissi | https://ncatlab.org/nlab/source/Agnese+Bissi |
* [webpage](https://katalog.uu.se/profile/?id=N17-1951)
## Selected writings
On [[string scattering amplitudes]] via [[AdS/CFT]] and the [[conformal bootstrap]]:
* {#ABP18} [[Luis Alday]], [[Agnese Bissi]], [[Eric Perlmutter]], _Genus-One String Amplitudes from Conformal Field Theory_, JHEP06(2019) 010 ([arX... |
Agnès Beaudry | https://ncatlab.org/nlab/source/Agn%C3%A8s+Beaudry |
* [Website](https://www.colorado.edu/math/agnes-beaudry)
## Selected writings
On [[chromatic homotopy theory]]:
* [[Tobias Barthel]], [[Agnès Beaudry]], *Chromatic structures in stable homotopy theory*, in [[Handbook of Homotopy Theory]], Chapman and Hall/CRC Press (2019) [[arXiv:1901.09004](https:/... |
AGT conjecture > history | https://ncatlab.org/nlab/source/AGT+conjecture+%3E+history |
see _[[AGT correspondence]]_. |
AGT correspondence | https://ncatlab.org/nlab/source/AGT+correspondence |
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#### Duality in string theory
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#### Functorial Quantum field theory
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Agustí Roig | https://ncatlab.org/nlab/source/Agust%C3%AD+Roig | [[!redirects Agusti Roig]]
* [webpage](https://mat.upc.edu/en/people/agustin.roig)
* [FUTUR website](https://futur.upc.edu/AgustinRoigMarti)
## related $n$Lab entries
* [[Grothendieck construction for model categories]]
* [[minimal fibration]]
* [[KS-model]]
* [[circle action]]
* [[4-sphere]]
... |
Aharon Casher | https://ncatlab.org/nlab/source/Aharon+Casher |
* [InSpire page](https://inspirehep.net/authors/1014341)
## Selected writings
Early discussion of [[discretized light-cone quantization]]:
* {#Casher76} [[Aharon Casher]], *Gauge fields on the null plane*, Phys. Rev. D **14** (1976) 452 [[doi:10.1103/PhysRevD.14.452](https://doi.org/10.1103/PhysRevD.1... |
Aharonov-Bohm effect | https://ncatlab.org/nlab/source/Aharonov-Bohm+effect |
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#### Physics
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* table of contents
{:toc}
## Idea
The _Aharono... |
Ahmadnagar | https://ncatlab.org/nlab/source/Ahmadnagar | |
Ahmed Almheiri | https://ncatlab.org/nlab/source/Ahmed+Almheiri |
* [webpage](https://www.ias.edu/scholars/ahmed-almheiri)
## Selected writings
On the interpretation of [[tensor networks]] encoding [[holographic entanglement entropy]] as [[quantum error correcting codes]]:
* {#ADH14} [[Ahmed Almheiri]], [[Xi Dong]], [[Daniel Harlow]], _Bulk Locality and Quantum Error Cor... |
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