Recursive Method for Nekrasov partition function for classical Lie groups
arXiv:1411.4222 · doi:10.1093/ptep/ptv014
Abstract
Nekrasov partition function for the supersymmetric gauge theories with general Lie groups is not so far known in a closed form while there is a definition in terms of the integral. In this paper, as an intermediate step to derive it, we give a recursion formula among partition functions, which can be derived from the integral. We apply the method to a toy model which reflects the basic structure of partition functions for BCD type Lie groups and obtained a closed expression for the factor associated with the generalized Young diagram.
21 pages;v2 comments and references added