English

Supergeometry of Three Dimensional Black Holes

High Energy Physics - Theory 2009-10-28 v2 General Relativity and Quantum Cosmology

Abstract

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(12;R)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.

Keywords

Cite

@article{arxiv.hep-th/9504012,
  title  = {Supergeometry of Three Dimensional Black Holes},
  author = {Alan R. Steif},
  journal= {arXiv preprint arXiv:hep-th/9504012},
  year   = {2009}
}

Comments

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