Supersymmetric RG flows and Janus from type II orbifold compactification

Abstract

We study holographic RG flow solutions within four-dimensional N = 4 gauged supergravity obtained from type IIA and IIB string theories compactified on T 6 /Z 2 × Z 2 orbifold with gauge, geometric and non-geometric fluxes. In type IIB non-geometric compactifications, the resulting gauged supergravity has I SO(3)× I SO(3) gauge group and admits an N = 4 AdS 4 vacuum dual to an N = 4 superconformal field theory (SCFT) in three dimensions. We study various supersymmetric RG flows from this N = 4 SCFT to N = 4 and N = 1 non-conformal field theories in the IR. The flows preserving N = 4 supersymmetry are driven by relevant operators of dimensions = 1, 2 or alternatively by one of these relevant operators, dual to the dilaton, and irrelevant operators of dimensions = 4 while the N = 1 flows in addition involve marginal deformations. Most of the flows can be obtained analytically. We also give examples of supersymmetric Janus solutions preserving N = 4 and N = 1 supersymmetries. These solutions should describe two-dimensional conformal defects within the dual N = 4 SCFT. Geometric compactifications of type IIA theory give rise to N = 4 gauged supergravity with I SO(3) U (1) 6 gauge group. In this case, the resulting gauged supergravity admits an N = 1 AdS 4 vacuum. We also numerically study possible N = 1 RG flows to non-conformal field theories in this case.

Holographic RG flows in $$N=4$$ N = 4 SCFTs from half-maximal gauged supergravity

“…Finally, finding other types of solutions such as supersymmetric Janus and flows across dimensions to Ad S 2 × 2 , with 2 being a Riemann surface, would also be useful in the holographic study of defect SCFTs and black hole physics. Recent works along this line include [20,[40][41][42][43][44][45].…”

“…In this paper, we will give holographic RG flow solutions within N = 4 gauged supergravity in four dimensions. Solutions in the case of non-semisimple gauge groups with known higher dimensional origins have already been considered in [19,20]. This non-semisimple gauging, however, turns out to have a very restricted number of supersymmetric Ad S 4 vacua.…”

Holographic RG flows and $$AdS_5$$ A d S 5 black strings from 5D half-maximal gauged supergravity

“…We mainly focus on domain wall solutions interpolating between N = 4 Ad S 5 vacua or between an Ad S 5 vacuum and a singular domain wall corresponding to a non-conformal field theory. These types of solutions have been extensively studied in half-maximal gauged supergravities in various space-time dimensions, see [10,11,[14][15][16][17][18][19][20][21] for an incomplete list. The solutions involve only the metric and scalar fields.…”

Supersymmetric Janus solutions of dyonic ISO(7)-gauged $$ \mathcal{N} $$ = 8 supergravity

“…The ABJM Janus solutions are also studied in gauged N = 8 supergravity in four dimensions, and some of them are uplifted to eleven-dimensions [15,16]. There are more examples of Janus solutions in four-dimensional gauged supergravity [17][18][19]. Lately, Janus solution was studied in F (4) gauged supergravity in six dimensions, and was proposed to be dual to codimension one defect in 5d superconformal field theories [20].…”