Recursive Method for Nekrasov partition function for classical Lie groups

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

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Cited by in corpus (10)

• A slow review of the AGT correspondence
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• Quantum toroidal algebras and solvable structures in gauge/string theory
• Instanton counting and O-vertex
• Fiber-base duality from the algebraic perspective
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• Finite ${\epsilon }_2$-corrections to the $\mathcal{N}=2$ SYM prepotential
• ABCD of qq-characters
• Bethe/Gauge Correspondence for $A_N$ Spin Chains with Integrable Boundaries