3d Chern-Simons Theory from M5-branes
High Energy Physics - Theory
2014-07-02 v3
Abstract
We study 5d N=2 maximally supersymmetric Yang-Mills theory with a gauge group G on S^2 x M_3, where M_3 is a 3-manifold. By explicit localization computation we show that the path-integral of the 5d N=2 theory reduces to that of the 3d G_C Chern-Simons theory on M_3, where G_C is the complexification of G. This gives a direct derivation of the appearance of the Chern-Simons theory from the compactification of the 6d (2,0) theory, confirms the predictions from the 3d/3d correspondence for G=SU(N), and suggests the generalization of the correspondence to more general gauge groups.
Cite
@article{arxiv.1305.2429,
title = {3d Chern-Simons Theory from M5-branes},
author = {Sungjay Lee and Masahito Yamazaki},
journal= {arXiv preprint arXiv:1305.2429},
year = {2014}
}
Comments
28 pages, minor corrections and references added, comments on the gauge-fixing added. The version published in JHEP