On the Nekrasov Partition Function of Gauged Argyres-Douglas Theories

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.

arXiv comment34 pages, 4 figures

References in corpus (32)

• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Liouville Correlation Functions from Four-dimensional Gauge Theories
• N=2 dualities
• New Phenomena in SU(3) Supersymmetric Gauge Theory
• A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
• New N=2 Superconformal Field Theories in Four Dimensions
• Quantization of Integrable Systems and Four Dimensional Gauge Theories
• The Coulomb Phase of N=2 Supersymmetric QCD
• Multi-Instanton Calculus and Equivariant Cohomology
• On combinatorial expansion of the conformal blocks arising from AGT conjecture
• An Algorithm for the Microscopic Evaluation of the Coefficients of the Seiberg-Witten Prepotential
• General Argyres-Douglas Theory
• Study of $N=2$ Superconformal Field Theories in $4$ Dimensions
• Direct Integration of the Topological String
• Wild Quiver Gauge Theories
• Irregular singularities in Liouville theory
• Geometric Engineering, Mirror Symmetry and 6d (1,0) -> 4d, N=2
• Infinitely many N=2 SCFT with ADE flavor symmetry
• Instantons on Quivers and Orientifolds
• Argyres-Douglas Theories, the Macdonald Index, and an RG Inequality
• New aspects of Argyres--Douglas theories and their dimensional reduction
• Argyres-Douglas Theories and S-Duality
• Matrix models for irregular conformal blocks and Argyres-Douglas theories
• Argyres-Douglas theories, Painlevé II and quantum mechanics
• Discrete Painleve system and the double scaling limit of the matrix model for irregular conformal block and gauge theory
• Quantum periods and prepotential in $\mathcal{N}=2$ SU(2) SQCD
• Quantum Seiberg-Witten curve and Universality in Argyres-Douglas theories
• Discrete Painleve system for the partition function of $N_f=2$ $SU(2)$ supersymmetric gauge theory and its double scaling limit
• Quantum periods for $\mathcal{N}=2$ $SU(2)$ SQCD around the superconformal point
• Quantum Seiberg-Witten periods for $\mathcal{N}=2$ $SU(N_c)$ SQCD around the superconformal point
• Argyres-Douglas Theories, S-duality and AGT Correspondence
• Perturbation of multi-critical unitary matrix models, double scaling limits, and Argyres-Douglas theories

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