Abstract
We holographically study supersymmetric deformations of N=3 and N=1 superconformal field theories in three dimensions using four-dimensional N=4 gauged supergravity coupled to three-vector multiplets with non-semisimple SO(3)ltimes (mathbf {T}^3,hat{mathbf {T}}^3) gauge group. This gauged supergravity can be obtained from a truncation of 11-dimensional supergravity on a tri-Sasakian manifold and admits both N=1,3 supersymmetric and stable non-supersymmetric AdS_4 critical points. We analyze the BPS equations for SO(3) singlet scalars in detail and study possible supersymmetric solutions. A number of RG flows to non-conformal field theories and half-supersymmetric domain walls are found, and many of them can be given analytically. Apart from these “flat” domain walls, we also consider AdS_3-sliced domain wall solutions describing two-dimensional conformal defects with N=(1,0) supersymmetry within the dual N=1 field theory while this type of solutions does not exist in the N=3 case.
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