New Janus interfaces from four-dimensional N=3 gauged supergravity

TL;DR

This paper constructs new supersymmetric Janus solutions in four-dimensional N=3 gauged supergravity, revealing conformal interfaces in dual three-dimensional N=3 Chern-Simons-Matter theories with various residual symmetries.

Contribution

It introduces novel Janus solutions within N=3 gauged supergravity, expanding the understanding of supersymmetric interfaces in dual CSM theories.

Findings

Multiple supersymmetric Janus solutions preserving N=1 supersymmetry.

Identification of conformal interfaces with specific residual symmetries.

Connection between supergravity vacua and dual CSM theories.

Abstract

We construct new supersymmetric Janus solutions from four-dimensional $N=3$ gauged supergravity coupled to eight vector multiplets with $SO(3)\times SU(3)$ gauge group. This gauged supergravity admits a supersymmetric $N=3$ $AdS_4$ vacuum with the full $SO(3)\times SU(3)$ symmetry unbroken and a family of supersymmetric $N=1,2,3$ and non-supersymmetric $AdS_4$ vacua with different residual symmetries. These are expected to be dual to supersymmetric Chern-Simons-Matter (CSM) theories in three dimensions via the AdS/CFT correspondence. By considering a truncation to three complex scalar fields, we find a number of Janus solutions preserving $N=1$ supersymmetry that describes conformal interfaces within $N=3$ CSM theories with $SO(3)\times SU(3)$ and $SU(2)_{\textrm{diag}}\times U(1)$ symmetries.