Seiberg-like duality in three dimensions for orthogonal gauge groups

TL;DR

This paper proposes a new duality for three-dimensional N=2 Chern-Simons theories with orthogonal gauge groups, extending known level-rank duality and resembling Seiberg duality, supported by partition function comparisons and conformal dimension calculations.

Contribution

It introduces a Seiberg-like duality for orthogonal gauge groups in 3D Chern-Simons theories, generalizing existing dualities and providing extensive checks through partition functions and Z-extremization.

Findings

Partition functions match for dual theories.

Conformal dimensions determined via Z-extremization.

Duality extends level-rank duality to orthogonal groups.

Abstract

We propose a duality for N=2 d=3 Chern-Simons gauge theories with orthogonal gauge groups and matter in the vector representation. This duality generalizes level-rank duality for pure Chern-Simons gauge theories with orthogonal gauge groups and is reminiscent of Seiberg duality in four dimensions. We perform extensive checks by comparing partition functions of theories related by dualities. We also determine the conformal dimensions of fields using Z-extremization.