String theory, black holes, and SL(2, ) current algebra

1992/06/29 by Shyamoli Chaudhuri, Joseph Lykken, Joseph D. Lykken · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #hep-th

paper · pdf · doi:10.1016/0550-3213(93)90267-s

published as Nucl.Phys. B396 (1993) 270-302 · 38 pages, FERMI-PUB-92/169-T

arxiv created 1992/06/29 · openalex publication_date 1993/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We analyse in detail the SL(2,R) black hole by extending standard techniques of Kac-Moody current algebra to the non-compact case. We construct the elements of the ground ring and exhibit W-infinity type structure in the fusion algebra of the discrete states. As a consequence, we can identify some of the exactly marginal deformations of the black hole. We show that these deformations alter not only the spacetime metric but also turn on non-trivial backgrounds for the tachyon and all of the massive modes of the string.

Citations

• Current algebra and Wess-Zumino model in two dimensions
• Irreducible Unitary Representations of the Lorentz Group

Cited by

• Conformal field theory, (2 + 1)-dimensional gravity and the BTZ black hole
• On the classification of real forms of non-Abelian Toda theories and W-algebras
• Holographic approach to deformations of NS5-brane distributions and exact CFTs