Supersymmetric Janus solutions in four-dimensional N=3 gauged supergravity

TL;DR

This paper constructs supersymmetric Janus solutions in four-dimensional N=3 gauged supergravity, revealing conformal interfaces in a dual three-dimensional N=3 Chern-Simons-Matter theory with specific supersymmetry and symmetry properties.

Contribution

It presents the first explicit supersymmetric Janus solutions within four-dimensional N=3 gauged supergravity with SO(3)×SU(3) gauge group, connecting to dual Chern-Simons-Matter theories.

Findings

Two classes of Janus solutions with different supersymmetries

Solutions preserve specific symmetry subgroups

Descriptions of conformal interfaces in dual theories

Abstract

We construct supersymmetric Janus solutions using four-dimensional $N=3$ gauged supergravity with $SO(3)\times SU(3)$ gauge group. The $N=3$ supersymmetric $AdS_4$ vacuum with unbroken $SO(3)\times SU(3)$, identified with the compactification of eleven-dimensional supergravity on $AdS_4\times N^{010}$, provides a gravity dual of supersymmetric $N=3$ Chern-Simons-Matter theory in three dimensions with $SU(3)$ flavor symmetry. The Janus solutions accordingly describe supersymmetric conformal interfaces within this Chern-Simons-Matter theory via the AdS/CFT holography. We find two classes of Janus solutions preserving respectively $(2,1)$ and $(0,1)$ supersymmetry on the $(1+1)$-dimensional conformal defects. The solution with $(2,1)$ supersymmetry preserves $SO(2)\times SO(2)\times SO(2)\subset SO(3)\times SU(3)$ symmetry while the $(0,1)$ supersymmetric solution is invariant under a larger $SO(2)\times SU(2)\times SO(2)$ symmetry.