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

Abstract

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 $USp(4,k)/USp(4)\times USp(k)$ 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 $Ad{S}_3$ 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 $SO(5)⋉{\mathbf{T}}^{10}$ for the theory with $USp(4,4)/USp(4)\times USp(4)$ scalar manifold. The resulting theory describes $N=5$ gauged supergravity in four dimensions reduced on $S^1/{\mathbb{Z}}_2$ and admits a maximally supersymmetric $Ad{S}_3$ critical point with $Osp(5|2,\mathbb{R})\times Sp(2,\mathbb{R})$ superconformal symmetry. We end the paper with the construction of $SO(6)⋉{\mathbf{T}}^{15}$ gauged supergravity with $N=6$ supersymmetry. The theory admits a half-supersymmetric domain wall as a vacuum solution and may be obtained from an $S^1/{\mathbb{Z}}_2$ reduction of $N=6$ gauged supergravity in four dimensions.

35 pages, 1 figure

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Cited by in corpus (1)

• Non-semisimple gauging of a magical N=4 supergravity in three dimensions