The Spectrum of Sl(2, R)/u(1) Black Hole Conformal Field Theory
نویسنده
چکیده
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 nonlinear σ-models. ⋆ e-mail address: [email protected]
منابع مشابه
Exact solutions of four-dimensional black holes in string theory.
We construct an exact conformal field theory as an SL(2, R) × SU(2)/U(1)2 gauged WZW model, which describes a black hole in four dimensions. Another exact solution, describing a black membrane in four dimensions (in the sense that the event horizon is an infinite plane) is found as an SL(2, R)×U(1)2/U(1) gauged WZW model. Both the black hole and the black membrane carry axionic charge. Finally,...
متن کاملar X iv : h ep - t h / 95 05 03 3 v 1 5 M ay 1 99 5 2 - d Gravity as a Limit of the SL ( 2 , R ) Black Hole
The transformation of the SL(2, R)/U (1) black hole under a boost of the subgroup U (1) is studied. It is found that the tachyon vertex operators of the black hole go into those of the c = 1 conformal field theory coupled to gravity. The discrete states of the black hole also tend to the discrete states of the 2-d gravity theory. The fate of the extra discrete states of the black hole under boo...
متن کاملAnalytical Solution of the Sl(2,r)/u(1) Wznw Black Hole Model
The gauged SL(2,R)/U(1) Wess-Zumino-Novikov-Witten (WZNW) model is classically an integrable conformal field theory. We have found a Lax pair representation for the non-linear equations of motion, and a Bäcklund transformation. A second-order differential equation of the Gelfand-Dikii type defines the Poisson bracket structure of the theory, and its fundamental solutions describe the general so...
متن کاملString Propagation in a Black Hole Geometry
We consider string theory in the background of the two-dimensional black hole as described by the SL(2, R)/U(1) coset theory recently introduced by Witten. We study the spectrum of this conformal field theory, and give explicit representations for the tachyon vertex operators in terms of SL(2, R) matrix elements. This is used to compute the scattering of strings off the black hole and to show t...
متن کاملAdS3 Black Holes and a Stringy Exclusion Principle
The duality relating near-horizon microstates of black holes obtained as orbifolds of a subset of AdS3 to the states of a conformal field theory is analyzed in detail. The SL(2, R)L ⊗ SL(2, R)R invariant vacuum on AdS3 corresponds to the NS-NS vacuum of the conformal field theory. The effect of the orbifolding is to produce a density matrix, the temperature and entropy of which coincide with th...
متن کامل