M5-branes from gauge theories on the 5-sphere

By Hee-Cheol Kim, Seok Kim. 2012

275 citations recorded by the source corpus.

A bstractWe use the 5-sphere partition functions of supersymmetric Yang-Mills theories to explore the (2, 0) superconformal theory on S5 × S1. The 5d theories can be regarded as Scherk-Schwarz reductions of the 6d theory along the circle. In a special limit, the perturbative partition function takes the form of the Chern-Simons partition function on S3. With a simple non-perturbative completion, it becomes a 6d index which captures the degeneracy of a sector of BPS states as well as the index version of the vacuum Casimir energy. The Casimir energy exhibits the N3 scaling at large N. The large N index for U(N) gauge group also completely agrees with the supergravity index on AdS7 × S4.

Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6312e80b6d314f1e238b8e8ded72ef468e7fc8cf

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Mathematical Physics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

The (2, 0) superconformal bootstrap (2015, background): “(14)References [99,100] contain proposals for the index in an unrefined limit, where the enhanced supersymmetry leads to a simpler expression.”
Exact results for five-dimensional superconformal field theories with gravity duals (2012, result): “As shown in [23] (see [21, 22] for earlier work and also [40]), the S5 partition function of 5d Yang-Mills theory with gauge group G and matter hyper multiplets in representations Ri takes the form”
The Casimir energy in curved space and its supersymmetric counterpart (2015, background): “A supersymmetric version of the Casimir energy was discussed in [21], where it was also noted that it does not match the standard holographic Casimir energy in AdS7.”
Localization on Hopf surfaces (2014, background): “which agrees31 with the expression for the “index Casimir energy” given in appendix B of [45].”
Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS5 black holes (2018, background): “wever, we have the following relation f vector(x;p;q) = 1 + fr=2 chiral (x;p;q) = 1 + x2 1 (1 p)(1 q) : (4.84) 22The relevance of this limit for the computation of Casimir energies was anticipated in [67]. { 34 { Before proceeding with the limit, let us note that \ avor" (namely global symmetri”
Instantons on the 5-sphere and M5-branes (2012, methodology): “The 5d gauge theory on S(5) of our interest was presented in [13].”
5-dim superconformal index with enhanced En global symmetry (2012, background): “See the recent work [45, 46, 47] for the perturbative part of the partition function of 5-dim supersymmetric YM theory on S(5).”
General instanton counting and 5d SCFT (2014, background): “The instanton partition functions on R4 × S1 are often related to other SCFT observables, given by SYM partition functions on curved 5-manifolds such as S5 or S4 × S1 [6–15].”
Cardy formulae for SUSY theories in d = 4 and d = 6 (2014, background): “On general grounds, we expect that they differ by local counter-terms and by Casimir energy factors (Casimir energy factors are indeed present, see for example [38,39]).”