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 $T^6/{\mathbb{Z}}_2\times {\mathbb{Z}}_2$ orbifold with gauge, geometric and non-geometric fluxes. In type IIB non-geometric compactifications, the resulting gauged supergravity has $ISO(3)\times ISO(3)$ gauge group and admits an $N=4$ $Ad{S}_4$ 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 $\Delta =1,2$ or alternatively by one of these relevant operators, dual to the dilaton, and irrelevant operators of dimensions $\Delta =4$ 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 $ISO(3)⋉U(1{)}^6$ gauge group. In this case, the resulting gauged supergravity admits an $N=1$ $Ad{S}_4$ vacuum. We also numerically study possible $N=1$ RG flows to non-conformal field theories in this case.

32 pages, 5 figures, typos corrected and references added

References in corpus (12)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Gauged N=4 supergravities
• Charting the landscape of N=4 flux compactifications
• Type II origin of dyonic gaugings
• Type-IIA flux compactifications and N=4 gauged supergravities
• Holographic, N=1 Supersymmetric RG Flows on M2 Branes
• New Supersymmetric and Stable, Non-Supersymmetric Phases in Supergravity and Holographic Field Theory
• Maximally Supersymmetric AdS4 Vacua in N=4 Supergravity
• Supersymmetric Janus solutions in four-dimensional N=3 gauged supergravity
• Supersymmetric deformations of 3D SCFTs from tri-sasakian truncation
• Universal isolation in the AdS landscape

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