pith. machine review for the scientific record. sign in

arxiv: 1212.0545 · v1 · submitted 2012-12-03 · ✦ hep-th

Recognition: unknown

2d TQFT structure of the superconformal indices with outer-automorphism twists

Noppadol Mekareeya , Jaewon Song , Yuji Tachikawa
Authors on Pith no claims yet
classification ✦ hep-th
keywords indicesdeformedfindgammamacdonaldouter-automorphismpolynomialsriemann
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. On non-relativistic integrable models and 4d SCFTs

    hep-th 2026-04 unverdicted novelty 6.0

    Generalized Schur indices of N=2 class S theories are expressed using eigenfunctions of non-relativistic elliptic Calogero-Moser models, with extensions claimed for N=1 SCFTs via limits of models like Inozemtsev.