Supergeometry of Three Dimensional Black Holes

Details Supergeometry of Three Dimensional Black Holes Supergeometry of Three Dimensional Black Holes

1995-04-04

arxiv.org/abs/hep-th/9504012v2

Phys.Rev. D53 (1996) 5521-5526

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, harvmac, discussion of rotating black hole added, some minor corrections, reference added

Scientific paper

10.1103/PhysRevD.53.5521

We show how the supersymmetric properties of three dimensional black holes can be obtained algebraically. The black hole solutions are constructed as quotients of the supergroup $OSp(1|\,2;R)$ by a discrete subgroup of its isometry supergroup. The generators of the action of the isometry supergroup which commute with these identifications are found. These yield the supersymmetries for the black hole as found in recent studies as well as the usual geometric isometries. It is also shown that in the limit of vanishing cosmological constant, the black hole vacuum becomes a null orbifold, a solution previously discussed in the context of string theory.

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