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

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

1992-06-29

arxiv.org/abs/hep-th/9206107v1

Nucl.Phys. B396 (1993) 270-302

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/0550-3213(93)90267-S

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.

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