c=1 Liouville Theory Perturbed by the Black-Hole Mass operator

Details c=1 Liouville Theory Perturbed by the Black-Hole Mass operator c=1 Liouville Theory Perturbed by the Black-Hole Mass operator

1993-07-30

arxiv.org/abs/hep-th/9307185v1

Phys.Lett. B316 (1993) 74-79

Physics

High Energy Physics

High Energy Physics - Theory

10 pages,UT 650

Scientific paper

10.1016/0370-2693(93)90660-A

We discuss the properties of the Liouville theory coupled to the c=1 matter when perturbed by an operator, the screening operator of the $SL(2;R)$ current algebra, which is supposed to generate the mass of the two-dimensional black hole. Mimicking the standard KPZ scaling theory of the Liouville system perturbed by the cosmological constant operator, we develop a scaling theory of correlation functions as functions of the mass of the black hole. Contrary to the case of KPZ, the present theory does not have the $c=1$ barrior and seems somewhat insensitive to the delatils of the matter content of the theory; the string succeptibility equals 1 independent of the matter central charge. It turns out that our scaling exponents agree with those of the deformed matrix model proposed recently by Jevicki and Yoneya.

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