CONFORMAL FIELD THEORIES COUPLED TO 2-D GRAVITY IN THE CONFORMAL GAUGE

1 December 1988

journal article
research article
Published by World Scientific Pub Co Pte Ltd in Modern Physics Letters A

Vol. 03 (17) , 1651-1656
https://doi.org/10.1142/s0217732388001975

Abstract

The coupling of conformal field theories to 2-d gravity may be studied in the conformal gauge. As an application, the results of Knizhnik, Polyakov and Zamolodchikov for the scaling dimensions of conformal fields are derived in a simple way. Their conjecture for the susceptibility exponent γ of strings is proven and extended to arbitrary genus surfaces. The result agrees with exact results from random lattice models.

Keywords

SYMMETRY GROUP
SCALE INVARIANCE
CONFORMAL FIELD THEORY
GAUGE INVARIANCE
FIELD THEORY
ELEMENTARY PARTICLES
MATHEMATICAL MODEL
LIE GROUP
CONFORMAL INVARIANCE
QUARK MODEL
QUANTUM FIELD THEORY
INVARIANCE PRINCIPLE
LATTICE FIELD THEORY
QUANTUM MECHANICS
LATTICE MODEL
GRAVITATION

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