Exts and the AGT relations
High Energy Physics - Theory
2016-07-20 v3 Mathematical Physics
Algebraic Geometry
math.MP
Representation Theory
Abstract
We prove the connection between the Nekrasov partition function of N=2 super-symmetric U(2) gauge theory with adjoint matter and conformal blocks for the Virasoro algebra, as predicted by the Alday-Gaiotto-Tachikawa relations. Mathematically, this is achieved by relating the Carlsson-Okounkov Ext vector bundle on the moduli space of rank 2 sheaves with Liouville vertex operators.Our approach is geometric in nature, and uses a new method for intersection-theoretic computations of the Ext operator.
Keywords
Cite
@article{arxiv.1510.05482,
title = {Exts and the AGT relations},
author = {Andrei Neguţ},
journal= {arXiv preprint arXiv:1510.05482},
year = {2016}
}
Comments
minor modifications