2d TQFT structure of the superconformal indices with outer-automorphism twists
High Energy Physics - Theory
2015-06-12 v1
Abstract
We study the superconformal indices of 4d theories coming from 6d N=(2,0) theory of type \Gamma on a Riemann surface, with the action of the outer-automorphism \sigma in the trace. We find that the indices are given by the partition function of a deformed 2d Yang-Mills on the Riemann surface with gauge group G which is S-dual to the subgroup of \Gamma fixed by \sigma. In the 2-parameter deformed version, we find that it is governed not by Macdonald polynomials of type G, but by Macdonald polynomials associated to twisted affine root systems.
Keywords
Cite
@article{arxiv.1212.0545,
title = {2d TQFT structure of the superconformal indices with outer-automorphism twists},
author = {Noppadol Mekareeya and Jaewon Song and Yuji Tachikawa},
journal= {arXiv preprint arXiv:1212.0545},
year = {2015}
}
Comments
33 pages, 1 figure