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arXiv · 1411.4222

Recursive Method for Nekrasov partition function for classical Lie groups

Satoshi Nakamura·Futoshi Okazawa·Yutaka Matsuo
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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.

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Satoshi Nakamura, Futoshi Okazawa, Yutaka Matsuo. 2014-11-16. Recursive Method for Nekrasov partition function for classical Lie groups. https://doi.org/10.1093/ptep%2Fptv014

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