Supersymmetric deformations of 3D SCFTs from tri-Sasakian truncation

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) (sic) (T-3, (T) over cap (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 nonconformal 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 twodimensional 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.