Twisted reduction of quiver W-algebras
High Energy Physics - Theory
2019-05-13 v1 Mathematical Physics
math.MP
Quantum Algebra
Representation Theory
Abstract
We consider the -twisted Nekrasov-Shatashvili limit (NS limit) of 5d (K-theoretic) and 6d (elliptic) quiver gauge theory, where one of the multiplicative equivariant parameters is taken to be the -th root of unity. We obtain the extended center of the associated -deformed quiver W-algebras constructed by our formalism [arXiv:1512.08533; arXiv:1608.04651; arXiv:1705.04410], which provides gauge theoretic proof of Bouwknegt-Pilch's statement on the relation to the representation ring of quantum affine algebra.
Keywords
Cite
@article{arxiv.1905.03865,
title = {Twisted reduction of quiver W-algebras},
author = {Taro Kimura and Vasily Pestun},
journal= {arXiv preprint arXiv:1905.03865},
year = {2019}
}
Comments
25 pages