Seiberg-like dualities for orthogonal and symplectic 3d $\mathcal{N} = 2$ gauge theories with boundaries

TL;DR

This paper proposes dualities for boundary conditions in 3d $ abla=2$ gauge theories with orthogonal and symplectic groups, matching anomalies and indices to establish their equivalence.

Contribution

It introduces new dualities for boundary conditions in 3d $ abla=2$ theories with orthogonal and symplectic gauge groups, verified by anomaly and index matching.

Findings

Boundary 't Hooft anomalies match for dual pairs.

Half-indices are identical for dual boundary conditions.

Dualities extend understanding of boundary phenomena in supersymmetric gauge theories.

Abstract

We propose dualities of $\mathcal{N} = (0,2)$ supersymmetric boundary conditions for 3d $\mathcal{N} = 2$ gauge theories with orthogonal and symplectic gauge groups. We show that the boundary 't Hooft anomalies and half-indices perfectly match for each pair of the proposed dual boundary conditions.