Holographic solutions from N=6, D=4 gauged supergravity

Abstract

In this thesis, we study holographic solutions of four-dimensional N = 6 gauged supergravity with SO(6) gauge group. The theory admits a unique N = 6 supersymmetric AdS4 vacuum dual to a three-dimensional N = 6 SCFT and gives us a number of supersymmetric domain walls interpolating between this AdS4 vacuum and singular geometries in IR with SO(2) × SO(4), U(3), SO(2) × SO(2) × SO(2), and SO(3) symmetries. These solutions describe RG flows from N = 6 SCFT in UV to non-conformal field theories driven by mass deformations. In particular, the solution with SO(2)×SO(4) symmetry coincides with the known mass deformations of the dual N = 6 SCFT. Despite most of the solutions preserving N = 6 supersymmetry, the SO(3) case preserves N = 6 or N = 2 depending on the absence of pseudoscalars. We also give an analytic form of supersymmetric Janus solution with SO(2)×SO(4) symmetry, which describes a two-dimensional conformal defect in the N = 6 SCFT with unbroken N = (4, 2) supersymmetry. Finally, we study supersymmetric AdS black hole with magnetic charges and the horizon geometry of the form AdS2 × H2. We find an N=2 supersymmetric solution with SO(2)×SO(4) symmetry interpolating between the AdS4 vacuum and an AdS2 ×H2 fixed point, which is dual to a twisted compactification of N = 6 SCFT on hyperbolic space H2.