Janus and RG-flow interfaces in three-dimensional gauged supergravity

TL;DR

This paper constructs supersymmetric Janus and RG-flow interface solutions in three-dimensional gauged supergravity, revealing new insights into CFT interfaces and supersymmetry preservation.

Contribution

It introduces novel Janus and RG-flow solutions in 3D gauged supergravity with sixteen supersymmetries, expanding understanding of CFT interfaces and supersymmetric flows.

Findings

Solutions preserve some supersymmetry fractions.

Interfaces connect identical and different CFTs.

Solutions derived from supersymmetry flow equations.

Abstract

In this paper, we construct Janus-type solutions of three-dimensional gauged supergravity with sixteen supersymmetries. We find solutions which correspond to interfaces between the same CFT on both sides, as well as RG-flow interfaces between CFTs with different numbers of supersymmetries and central charges. The solutions are obtained by solving the flow equations derived from the supersymmetry variations, and they preserve some fraction of the supersymmetries of the $\AdS_3$ vacua.