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Recursive method for the Nekrasov partition function for classical Lie groups
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DOI：10.1093/ptep/ptv014.png)
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The Nekrasov partition function for supersymmetric gauge theories with general Lie groups is, so far, not known in a closed form, while there is a definition in terms of the integral. In this paper, as an intermediate step to derive the closed form, we give a recursion formula among partition functions, which can be derived from the integral. We apply the method to a toy model that reflects the basic structure of partition functions for BCD-type Lie groups and obtain a closed expression for the factor associated with the generalized Young diagram.
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