On the Nekrasov partition function of gauged Argyres-Douglas theories

Abstract

Abstract We study SU(2) gauge theories coupled to (A 1 , D N ) theories with or without a fundamental hypermultiplet. For even N, a formula for the contribution of (A 1 , D N ) to the Nekrasov partition function was recently obtained by us with Y. Sugawara and T. Uetoko. In this paper, we generalize it to the case of odd N in the classical limit, under the condition that the relevant couplings and vacuum expectation values of Coulomb branch operators of (A 1 , D N ) are all turned off. We apply our formula to the (A 2 , A 5) theory to find that its prepotential is related to that of the SU(2) gauge theory with four fundamental flavors by a simple change of variables.

Keywords

• Supersymmetric Gauge Theory
• Supersymmetry and Duality