Author:
Bonetti Federico,Rastelli Leonardo
Abstract
Abstract
$$ \mathcal{N}=4 $$
N
=
4
super Yang-Mills theory admits [1] a protected subsector isomorphic to a two-dimensional chiral algebra, obtained by passing to the cohomology of a certain supercharge. In the large N limit, we expect this chiral algebra to have a dual description as a subsector of IIB supergravity on AdS
5 × S
5. This subsector can be carved out by a version of supersymmetric localization, using the bulk analog of the boundary supercharge. We illustrate this procedure in a simple model, the theory of an
$$ \mathcal{N}=4 $$
N
=
4
vector multiplet in AdS
5, for which a convenient off-shell description is available. This model can be viewed as the simplest truncation of the full AdS
5 × S
5 supergravity, in which case the vector multiplet should be taken in the adjoint representation of
$$ {\mathfrak{g}}_F=\mathfrak{s}\mathfrak{u}{(2)}_F $$
g
F
=
s
u
2
F
. Localization yields Chern-Simons theory on AdS
3 with gauge algebra
$$ {\mathfrak{g}}_F $$
g
F
, whose boundary dual is the affine Lie algebra
$$ {\widehat{\mathfrak{g}}}_F $$
g
^
F
. We comment on the generalization to the full bulk theory. We propose that the large N limit of the chiral algebra of
$$ \mathcal{N}=4 $$
N
=
4
SYM is again dual to Chern-Simons theory, with gauge algebra a suitable higher-spin superalgebra.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Cited by
28 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Burns space and holography;Journal of High Energy Physics;2023-10-27
2. The Panorama of Spin Matrix theory;Journal of High Energy Physics;2023-04-18
3. Introduction;Springer Theses;2023
4. A slow review of the AGT correspondence;Journal of Physics A: Mathematical and Theoretical;2022-08-12
5. Spin Matrix Theory in near $$ \frac{1}{8} $$-BPS corners of $$ \mathcal{N} $$ = 4 super-Yang-Mills;Journal of High Energy Physics;2022-02