A Conformal Affine Toda Model of 2D-Black Holes the End-Point State and the S-Matrix

Abstract

In this paper we investigate in more detail our previous formulation of the dilaton-gravity theory by Bilal--Callan--de~Alwis as a $S{L}_2$-conformal affine Toda (CAT) theory. Our main results are: i) a field redefinition of the CAT-basis in terms of which it is possible to get the black hole solutions already known in the literature; ii) an investigation the scattering matrix problem for the quantum black hole states. It turns out that there is a range of values of the $N$ free-falling shock matter fields forming the black hole solution, in which the end-point state of the black hole evaporation is a zero temperature regular remnant geometry. It seems that the quantum evolution to this final state is non-unitary, in agreement with Hawking's scenario for the black hole evaporation.

arXiv commentROM2F-93-03, 27 pages, phyzzx

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Cited by in corpus (3)

• Real decoupling ghost quantization of the CGHS model for two dimensional black holes
• The No-Hair Conjecture in 2D Dilaton Supergravity
• Quantum Models of Black Hole Evaporation