Extended anti-de Sitter hypergravity in 2+1 dimensions and hypersymmetry bounds.
Dec 29, 2015
19 pages
Part of Proceedings, International Workshop on Higher Spin Gauge Theories : Singapore, Singapore, November 4-6, 2015, 139-157
Contribution to:
- Published: 2017
e-Print:
- 1512.08603 [hep-th]
Report number:
- CECS-PHY-15-12
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Citations per year
Abstract: (FIZ Karlsruhe)
In a recent paper [“Hypersymmetry bounds and three-dimensional higher-spin black holes”, J. High Energ. Phys. 2015, No. 21, 26 p. (2015; doi:10.1007/JHEP08(2015)021 (opens in new tab))], we have investigated hypersymmetry bounds in the context of simple anti-de Sitter hypergravity in 2+1 dimensions. We showed that these bounds involved non linearly the spin-2 and spin-4 charges, and were saturated by a class of extremal black holes, which are 14-hypersymmetric. We continue the analysis here by considering (M,N)-extended anti-de Sitter hypergravity models, based on the superalgebra osp(M|4)⊕osp(N|4). The asymptotic symmetry superalgebra is then the direct sum of two-copies of a W-superalgebra that contains so(M) (or so(N)) Kac-Moody currents of conformal weight 1, fermionic generators of conformal weight 5/2 and bosonic generators of conformal weight 4 in addition to the Virasoro generators. The nonlinear hypersymmetry bounds on the conserved charges are derived and shown to be saturated by a class of extreme hypersymmetric black holes which we explicitly construct.Note:
- To appear in the Proceedings of the workshop "Higher Spin Gauge Theories", Institute for Advanced Studies, NTU, Singapore, November 4-6, 2015
- 81V17
- 81R10
- 17B67
- 83C45
- 83C57
- charge: conservation law
- anti-de Sitter
- conformal
- black hole
- Kac-Moody
References(36)
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