N=2 minimal model from 4d supersymmetric theory

TL;DR

This paper constructs a 4D supersymmetric theory whose partition function on T^2 x S^2 matches the elliptic genus of 2D N=2 minimal models, linking higher-dimensional theories to 2D conformal models.

Contribution

It introduces a novel 4D supersymmetric theory that reproduces the elliptic genus of 2D N=2 minimal models, establishing a new connection between 4D and 2D supersymmetric theories.

Findings

Partition function on T^2 x S^2 matches elliptic genus of 2D N=2 minimal models

Provides a new 4D theory corresponding to 2D minimal models

Links higher-dimensional supersymmetric theories to 2D conformal models

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.