Dual Boundary Conditions in 3d SCFT's

TL;DR

This paper introduces dual boundary conditions in 3d N=2 SCFTs, constructs duality interfaces, and validates these proposals through anomaly matching and index computations across various dualities.

Contribution

It proposes a new framework of matching boundary conditions and duality interfaces in 3d N=2 gauge theories, supported by anomaly and index checks.

Findings

Successful construction of dual boundary conditions for multiple dualities

Validation of proposals via anomaly matching and index calculations

Examples include abelian, level-rank, and Aharony dualities

Abstract

We propose matching pairs of half-BPS boundary conditions related by IR dualities of 3d $\mathcal{N}=2$ gauge theories. From these matching pairs we construct duality interfaces. We test our proposals by anomaly matching and the computation of supersymmetric indices. Examples include basic abelian dualities, level-rank dualities, and Aharony dualities.