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Title:
Conformal field theory and 2D quantum gravity
Authors:
Distler, Jacques; Kawai, Hikaru
Affiliation:
AA(Newman Laboratory of Nuclear Studies, Cornell University, Ithaca, NY 14853, USA; Address after September 1988, Department of Physics, University of Tokyo, Japan.), AB(Newman Laboratory of Nuclear Studies, Cornell University, Ithaca, NY 14853, USA; Address after September 1988, Department of Physics, University of Tokyo, Japan.; Address after September 1988, Department of Physics, University of Tokyo, Japan.)
Publication:
Nuclear Physics, Section B, Volume 321, Issue 2, p. 509-527.
Publication Date:
07/1989
Origin:
ELSEVIER
Abstract Copyright:
(c) 1989 Elsevier Science B.V. All rights reserved.
DOI:
10.1016/0550-3213(89)90354-4
Bibliographic Code:
1989NuPhB.321..509D

Abstract

Inspired by the recent work of Knizhnik, Polyakov and Zamolodchikov on the 2D quantum gravity in the "light cone" gauge, we present a proposal for solving the theory in the usual conformal gauge. Our results for the critical exponents of the theory agree with the genus-zero results of KPZ. Since our formalism naturally generalizes to higher-genus Riemann surfaces, we obtain the critical exponents for all genera. The corresponding results for the supersymmetric case are presented. We also show how to calculate correlation functions in these theories.
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