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) × 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) ⋉ T 10 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 \( {{{{S^1}}} \left/ {{{{\mathbb{Z}}_2}}} \right.} \) and admits a maximally supersymmetric AdS 3 critical point with \( \mathrm{Osp}\left( {5|2,\mathbb{R}} \right)\times \mathrm{Sp}\left( {2,\mathbb{R}} \right) \) superconformal symmetry. We end the paper with the construction of SO(6) ⋉ 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 \( {{{{S^1}}} \left/ {{{{\mathbb{Z}}_2}}} \right.} \) reduction of N = 6 gauged supergravity in four dimensions.
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Chatrabhuti, A., Karndumri, P. & Ngamwatthanakul, B. New N = 5, 6, 3D gauged supergravities and holography. J. High Energ. Phys. 2014, 159 (2014). https://doi.org/10.1007/JHEP01(2014)159
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DOI: https://doi.org/10.1007/JHEP01(2014)159