Trialities of minimally supersymmetric 2d gauge theories

TL;DR

This paper proposes a new infrared triality among 2D N=(0,1) supersymmetric gauge theories with orthogonal and symplectic groups, supported by anomaly and elliptic genus matching.

Contribution

It introduces a novel (0,1) triality for 2D supersymmetric gauge theories, extending previous (0,2) results and clarifying the role of global anomalies.

Findings

Matching of anomalies confirms the triality.

Elliptic genus calculations support the duality.

Clarification of anomaly relations in gauge and sigma-model descriptions.

Abstract

We study dynamics of two-dimensional N=(0,1) supersymmetric gauge theories. In particular, we propose that there is an infrared triality between certain triples of theories with orthogonal and symplectic gauge groups. The proposal is supported by matching of anomalies and elliptic genera. This triality can be viewed as a (0,1) counterpart of the (0,2) triality proposed earlier by two of the authors and A. Gadde. We also describe the relation between global anomalies in gauge theoretic and sigma-model descriptions, filling in a gap in the present literature.