New N=5, 6, 3D gauged supergravities and holography

We study N = 5 gauged supergravity in three dimensions with compact, non-compact and non-semisimple gauge groups. The theory under consideration is of Chern-Simons type with USp(4, k)/USp(4) x USp(k) scalar manifold. We classify possible semisimple gauge groups of the k = 2, 4 cases and identify some of their critical points. A number of supersymmetric AdS(3) critical points are found, and holographic RG flows interpolating between these critical points are also investigated. As one of our main results, we consider a non-semisimple gauge group SO(5) x T-10 for the theory with USp(4, 4)/USp(4) x USp(4) scalar manifold. The resulting theory describes N = 5 gauged supergravity in four dimensions reduced on S-1/Z(2) and admits a maximally supersymmetric AdS(3) critical point with Osp(5 vertical bar 2, R) x Sp(2, R) superconformal symmetry. We end the paper with the construction of SO(6) x T-15 gauged supergravity with N = 6 supersymmetry. The theory admits a half-supersymmetric domain wall as a vacuum solution and may be obtained from an S-1/Z(2) reduction of N = 6 gauged supergravity in four dimensions.