Abstract
We review some recent results concerning non-extremal and extremal stationary, asymptotically flat black hole solutions in extended D = 4 supergravities, and their properties with respect to the global symmetries of the theory. More specifically we refer to the effective three-dimensional description of these solutions and their classification within orbits with respect to the action of the global symmetry group, illustrating, for single-center solutions, the general mathematical relation between the orbits of non-extremal and extremal black holes.
Highlights
Stationary, asymptotically Flat Black Holes in D=4 SUGRAS Supergravity bosonic field content nS scalar fields φr ; nV vector fields AΛμ; Graviton gμν
Supergravity bosonic field content nS scalar fields φr ; nV vector fields AΛμ; Graviton gμν Solution to a D = 3 Euclidean theory obtained from time-reduction from the D = 4 one (Breitenlohner, Gibbons, Maison) nS scalar fields φr ; nV vector fields AΛμ; Graviton gμν Solution to a D = 3 Euclidean theory obtained from time-reduction from the D = 4 one (Breitenlohner, Gibbons, Maison) Dualizing in D = 3 vectors into scalars we end up with a sigma model describing n = 2 + nS + 2nV scalars φI coupled to gravity nS scalar fields φr ; nV vector fields AΛμ; Graviton gμν
Dualizing in D = 3 vectors into scalars we end up with a sigma model describing n = 2 + nS + 2nV scalars φI coupled to gravity e−1 L
Summary
Prepared for PRIN 2009 Conference, 16-17 May 2013, Pisa. B 863 (2012) 260 (arXiv:1203.6338 [hep-th]) by W. T. ; JHEP 1212 (2012) 078 (arXiv:1210.4047 [hep-th]) by L. T.; to appear in JHEP (arXiv:1303.1756 [hep-th]) by L.
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