Embeddings of the Virasoro Algebra and Black Hole Entropy

1998/11/30 by Máximo Bañados, Maximo Banados
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1103/physrevlett.82.2030

published as Phys.Rev.Lett. 82 (1999) 2030-2033 · 4 pages (twocolumn), latex, no figures. Reference added. To appear in Phys.Rev.Lett

arxiv created 1999/02/01 · openalex publication_date 1999/03/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider embeddings of the Virasoro algebra into other Virasoro algebras with different central charges. A Virasoro algebra with central charge c (assumed to be a positive integer) and zero mode operator L₀ can be embedded into another Virasoro algebra with central charge one and zero mode operator cL₀. We point out that this provides a new route to investigate the black hole entropy problem in 2+1 dimensions.

Citations

• Black hole in three-dimensional spacetime
• Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
• Aspects of black hole quantum mechanics and thermodynamics in 2+1 dimensions
• Geometry of the 2+1 Black Hole