N=2 minimal model from 4d supersymmetric theory

Abstract

Previous studies have shown that supersymmetric partition function on $T^2\times S^2$ is related to elliptic genus of two dimensional supersymmetric theory. In this short note we find a four dimensional supersymmetric theory, whose partition function on $T^2\times S^2$ is the same as elliptic genera of $\mathcal{N}=2$ minimal models in two dimensions.

6 pages; v2:minor corrections

References in corpus (4)

• Localization on Hopf surfaces
• Generalized Indices for $\mathcal{N}=1$ Theories in Four-Dimensions
• Supersymmetric index on T^2 x S^2 and elliptic genus
• A 4D-2D equivalence for large-N Yang-Mills theory