Gauge Theories and Macdonald Polynomials
Abstract
We study the N=2 four-dimensional superconformal index in various interesting limits, such that only states annihilated by more than one supercharge contribute. Extrapolating from the SU(2) generalized quivers, which have a Lagrangian description, we conjecture explicit formulae for all A-type quivers of class S, which in general do not have one. We test our proposals against several expected dualities. The index can always be interpreted as a correlator in a two-dimensional topological theory, which we identify in each limit as a certain deformation of two-dimensional Yang-Mills theory. The structure constants of the topological algebra are diagonal in the basis of Macdonald polynomials of the holonomies.
Cite
@article{arxiv.1110.3740,
title = {Gauge Theories and Macdonald Polynomials},
author = {Abhijit Gadde and Leonardo Rastelli and Shlomo S. Razamat and Wenbin Yan},
journal= {arXiv preprint arXiv:1110.3740},
year = {2015}
}
Comments
57 pages, 6 figures; v2: references added and minor improvements; v3: typos corrected