String Theory, Black Holes, and SL(2,R) Current Algebra

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.

38 pages, FERMI-PUB-92/169-T

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• Exact Models of Extremal Dyonic 4D Black Hole Solutions of Heterotic String Theory
• Interactions in the SL(2,R)/U(1) Black Hole Background
• Marginal deformations of WZW models and the classical Yang-Baxter equation
• Toward A Supersymmetric $w_{1+\infty }$ Symmetry in the Celestial Conformal Field Theory
• World-Sheet formulation of M theory
• NS5-branes on an ellipsis and novel marginal deformations with parafermions
• Remarks on free field realization of SL(2,R)/U(1) x U(1) WZNW model
• $W_{\infty }$ Algebras, Hawking Radiation and Information Retention by Stringy Black Holes
• BRST Analysis of Physical States in Two-Dimensional Black Hole
• Holographic approach to deformations of NS5-brane distributions and exact CFTs
• As time goes by
• On the Classification of Real Forms of Non-Abelian Toda Theories and W-algebras
• Conformally Exact Black Hole Perturbed by a Marginal Operator
• Decompactification and the g-theorem
• Naked Singularities in Four-Dimensional String Backgrounds
• On the Black Hole Background of Two-Dimensional String Theory
• Arbitrary Spacetimes from the SL(2,R)/U(1) Coset Model