On the Nekrasov partition function of gauged Argyres-Douglas theories

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