2d TQFT structure of the superconformal indices with outer-automorphism twists
Abstract
The study relates 4d superconformal indices from 6d N=(2,0) theories on Riemann surfaces to partition functions of deformed 2d Yang-Mills governed by Macdonald polynomials of twisted affine root systems.
We study the superconformal indices of 4d theories coming from 6d N=(2,0) theory of type Γon a Riemann surface, with the action of the outer-automorphism σin 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 Γfixed by σ. 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.
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