Instantons and the 5D U(1) gauge theory with extra adjoint

Details Instantons and the 5D U(1) gauge theory with extra adjoint Instantons and the 5D U(1) gauge theory with extra adjoint

2008-04-22

arxiv.org/abs/0804.3564v1

J.Phys.A42:304024,2009

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

10.1088/1751-8113/42/30/304024

In this paper we compute the partition function of 5D supersymmetric U(1) gauge theory with extra adjoint matter in general $\Omega$-background. It is well known that such partition functions encode very rich topological information. We show in particular that unlike the case with no extra matter, the partition function with extra adjoint at some special values of the parameters directly reproduces the generating function for the Poincare polynomial of the moduli space of instantons. Comparing our results with those recently obtained by Iqbal et. al., who used the refined topological vertex method, we present our comments on apparent discrepancies.

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