Super Janus
A. B. Clark, A. Karch
TL;DR
This work constructs a supersymmetric holographic dual to the Janus interface by restricting the five-dimensional ${N}=8$ gauged supergravity to the SU(3) invariant sector, yielding a $5$-dimensional ${N}=2$ theory with a single hypermultiplet. Solving the BPS domain-wall equations numerically, the authors obtain a smooth Super Janus solution with a warp-factor turning point and a kink in one hypermultiplet scalar, which encodes the dual of a partially supersymmetric interface in ${\cal N}=4$ SYM with reduced R-symmetry. The asymptotic analysis shows the warp factor and scalar profiles correspond to a dimension-4 operator with source and a dimension-3 operator without source, consistent with the expected defect CFT interpretation. The solution is upliftable to Type IIB as Super Janus via Pilch–Warner embeddings, though an explicit 10D mapping of the hyperscalars is nontrivial, motivating future work on direct 10D solutions and a detailed field-theory interpretation of the parameter space.
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.