1995/04/30 by Alan R. Steif · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.53.5521
published as Phys.Rev. D53 (1996) 5521-5526 · 12 pages, harvmac, discussion of rotating black hole added, some minor corrections, reference added
arxiv created 1996/02/02 · openalex publication_date 1996/05/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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\ensuremath\Vert2;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 a vanishing cosmological constant, the black hole vacuum becomes a null orbifold, a solution previously discussed in the context of string theory. \textcopyright 1996 The American Physical Society.