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

الأصل · EN

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)× 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 AdS₃ 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) T¹⁰ for the theory with USp(4,4)/USp(4)× USp(4) scalar manifold. The resulting theory describes N=5 gauged supergravity in four dimensions reduced on S¹/Z₂ and admits a maximally supersymmetric AdS₃ critical point with Osp(5|2,R)× Sp(2,R) superconformal symmetry. We end the paper with the construction of SO(6) T¹⁵ gauged supergravity with N=6 supersymmetry. The theory admits a half-supersymmetric domain wall as a vacuum solution and may be obtained from an S¹/Z₂ reduction of N=6 gauged supergravity in four dimensions.