Embeddings of the Virasoro algebra and black hole entropy

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 L_0 can be embedded into another Virasoro algebra with central charge one and zero mode operator c L_0. We point out that this provides a new route to investigate the black hole entropy problem in 2+1 dimensions.

4 pages (twocolumn), latex, no figures. Reference added. To appear in Phys.Rev.Lett

References in corpus (12)

• Gauge Theory Correlators from Non-Critical String Theory
• The Holographic Weyl anomaly
• Black Hole Entropy from Near-Horizon Microstates
• Quantum Geometry and Black Hole Entropy
• AdS3 Black Holes and a Stringy Exclusion Principle
• What We Don't Know about BTZ Black Hole Entropy
• The No-ghost Theorem for AdS_3 and the Stringy Exclusion Principle
• Boundary dynamics and the statistical mechanics of the 2+1 dimensional black hole
• Entropy of Three-Dimensional Black Holes in String Theory
• Statistical Entropy and AdS/CFT Correspondence in BTZ Black Holes
• Conformal Field Theory, Geometry, and Entropy
• Quantization of AdS_3 Black Holes in External Fields

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