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arXiv · hep-th/9308036

The Exact $S$-matrix of the Deformed $c=1$ Matrix Model

K. Demeterfi·I. Klebanov·J. Rodrigues
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Abstract

We consider the $c=1$ matrix model deformed by the operator ${1\over 2} M\TrΦ^{-2}$, which was conjectured by Jevicki and Yoneya to describe a two-dimensional black hole of mass $M$. We calculate the exact non-perturbative $S$-matrix and show that all the amplitudes involving an odd number of particles vanish at least to all orders of perturbation theory. We conjecture that these amplitudes vanish non-perturbatively and prove this for the $2n \to 1$ scattering. For the 2-- and 4--particle amplitudes we give some leading terms of the perturbative expansion.

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K. Demeterfi, I. Klebanov, J. Rodrigues. 1993-08-08. The Exact $S$-matrix of the Deformed $c=1$ Matrix Model. https://doi.org/10.1103/physrevlett.71.3409

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