The Spectrum of Sl(2, R)/U(1) Black Hole Conformal Field Theory

Details The Spectrum of Sl(2, R)/U(1) Black Hole Conformal Field Theory The Spectrum of Sl(2, R)/U(1) Black Hole Conformal Field Theory

1992-03-24

arxiv.org/abs/hep-th/9203063v1

Nucl.Phys. B395 (1993) 167-184

Physics

High Energy Physics

High Energy Physics - Theory

21 pages

Scientific paper

10.1016/0550-3213(93)90213-9

We study string theory in the background of a two-dimensional black hole which is described by an $SL(2, R)/U(1)$ coset conformal field theory. We determine the spectrum of this conformal field theory using supersymmetric quantum mechanics and give an explicit form of the vertex operators in terms of the Jacobi functions. We also discuss the applicability of SUSY quantum mechanics techniques to non-linear $\sigma$-models.

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