CONFORMAL AFFINE TODA MODEL OF 2-DIMENSIONAL BLACK-HOLES - THE END-POINT STATE AND THE S-MATRIX

In this paper we investigate a dilaton-gravity theory, which can be vi ewed as an SL(2) conformal affine Toda (CAT) theory. This new model is inspired by some previous work by Bilal, Callan, and de Alwis. The ma in results obtained in our approach are (i) a field redefinition of th e CAT basis in terms of which it is possible to get the black hole sol utions already known in the literature, and (ii) an investigation of t he scattering matrix problem for the quantum black hole states. Given the validity of our assumptions, there is a range of values of the N f ree-falling shock matter fields forming the black hole solution, for w hich the end-point state of the black hole evaporation is a zero tempe rature regular remnant geometry. The quantum evolution to this final s tate seems to be nonunitary, in agreement with Hawking's scenario for black hole evaporation.