Instanton partition functions in N=2 SU(N) gauge theories with a general surface operator, and their W-algebra duals

Details Instanton partition functions in N=2 SU(N) gauge theories with a general surface operator, and their W-algebra duals Instanton partition functions in N=2 SU(N) gauge theories with a general surface operator, and their W-algebra duals

2010-12-06

arxiv.org/abs/1012.1355v1

JHEP 1102:114,2011

Physics

High Energy Physics

High Energy Physics - Theory

20 pages

Scientific paper

10.1007/JHEP02(2011)114

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.

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