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arXiv · 2206.10937

On the Nekrasov Partition Function of Gauged Argyres-Douglas Theories

Takuya Kimura·Takahiro Nishinaka
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Abstract

We study $SU(2)$ gauge theories coupled to $(A_1,D_N)$ theories with or without a fundamental hypermultiplet. For even $N$, a formula for the contribution of $(A_1,D_N)$ to the Nekrasov partition function was recently obtained by us with Y.~Sugawara and T.~Uetoko. In this paper, we generalize it to the case of odd $N$ in the classical limit, under the condition that the relevant couplings and vacuum expectation values of Coulomb branch operators of $(A_1,D_N)$ are all turned off. We apply our formula to the $(A_2,A_5)$ theory to find that its prepotential is related to that of the $SU(2)$ gauge theory with four fundamental flavors by a simple change of variables.

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Takuya Kimura, Takahiro Nishinaka. 2022-06-22. On the Nekrasov Partition Function of Gauged Argyres-Douglas Theories. https://doi.org/10.1007/jhep01(2023)030

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