Instanton partition functions in N=2 SU(N) gauge theories with a general surface operator, and their W-algebra duals
High Energy Physics - Theory
2011-03-18 v1 Algebraic Geometry
Representation Theory
Abstract
We write down an explicit conjecture for the instanton partition functions in 4d N=2 SU(N) gauge theories in the presence of a certain type of surface operator. These surface operators are classified by partitions of N, and for each partition there is an associated partition function. For the partition N=N we recover the Nekrasov formalism, and when N=1+...+1 we reproduce the result of Feigin et. al. For the case N=1+(N-1) our expression is consistent with an alternative formulation in terms of a restricted SU(N)xSU(N) instanton partition function. When N=1+...+1+2 the partition functions can also be obtained perturbatively from certain W-algebras known as quasi-superconformal algebras, in agreement with a recent general proposal.
Keywords
Cite
@article{arxiv.1012.1355,
title = {Instanton partition functions in N=2 SU(N) gauge theories with a general surface operator, and their W-algebra duals},
author = {Niclas Wyllard},
journal= {arXiv preprint arXiv:1012.1355},
year = {2011}
}
Comments
20 pages