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

Abstract

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.

10 pages,UT 650

References in corpus (6)

• Interaction of Discrete States in Two-Dimensional String Theory
• BRST Analysis of Physical States for 2D (Super) Gravity Coupled to (Super) Conformal Matter
• Stringy Quantum Effects in 2-Dimensional Black-Hole
• Matrix Models and Black Holes
• Quantum Rings and Recursion Relations in 2D Quantum Gravity
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Cited by in corpus (5)

• On string cosmology and the RG flow in 2d field theory
• D-branes in Singular Calabi-Yau n-fold and N=2 Liouville Theory
• Two-Dimensional String Theory, Topological Field Theories and the Deformed Matrix Model
• The Scattering of Strings in a Black-Hole Background
• Gravitational action for a massive Majorana fermion in 2d quantum gravity