Toward AGT for parabolic sheaves
Algebraic Geometry
2021-02-24 v2 High Energy Physics - Theory
Representation Theory
Abstract
We construct explicit elements in (a completion of) the shifted quantum toroidal algebra of type , and show that these elements act by 0 on the -theory of moduli spaces of parabolic sheaves. We expect that the quotient of the shifted quantum toroidal algebra by the ideal generated by the elements will be related to -deformed -algebras of type for arbitrary nilpotent, which would imply a -deformed version of the AGT correspondence between gauge theory with surface operators and conformal field theory.
Cite
@article{arxiv.1911.02963,
title = {Toward AGT for parabolic sheaves},
author = {Andrei Neguţ},
journal= {arXiv preprint arXiv:1911.02963},
year = {2021}
}