Super Janus

TL;DR

This paper constructs a supersymmetric gravity dual to a Janus interface in N=4 super Yang-Mills theory, preserving some supersymmetry by reducing R-symmetry, using 5D gauged supergravity techniques.

Contribution

It introduces a supersymmetric version of the Janus solution by identifying its gravity dual within 5D N=2 gauged supergravity with SU(3) symmetry.

Findings

Constructed the supersymmetric Janus solution in supergravity.

Identified the gravity dual of the supersymmetric interface theory.

Demonstrated partial preservation of supersymmetry in the dual description.

Abstract

We propose and study a supersymmetric version of the Janus domain wall solution of type IIB supergravity. Janus is dual to N=4 super Yang Mills theory with a coupling constant that jumps across an interface. While the interface in the Janus field theory completely breaks all supersymmetries, it was found earlier that some supersymmetry can be restored in the field theory at the cost of breaking the SO(6) R-symmetry down to at least SU(3). We find the gravity dual to this supersymmetric interface theory by studying the SU(3) invariant subsector of N=8 gauged supergravity in 5D, which is described by 5D N=2 gauged supergravity with one hypermultiplet.