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Title: Conformal field theories coupled to 2-D gravity in the conformal gauge

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 ..gamma.. of strings is proven and extended to arbitrary genus surfaces. The result agrees with exact results from random lattice models.

Authors:
 [1]
  1. Service de Physique Theorique de Saclay, 91190-Gif sur Yvette, Cedex (FR)
Publication Date:
OSTI Identifier:
6389104
Resource Type:
Journal Article
Journal Name:
Mod. Phys. Letters B; (United States)
Additional Journal Information:
Journal Volume: 3:17
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GRAVITATIONAL FIELDS; CONFORMAL GROUPS; LATTICE FIELD THEORY; STRING MODELS; CONFORMAL INVARIANCE; GAUGE INVARIANCE; SCALE INVARIANCE; COMPOSITE MODELS; EXTENDED PARTICLE MODEL; FIELD THEORIES; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL MODELS; PARTICLE MODELS; QUANTUM FIELD THEORY; QUARK MODEL; SYMMETRY GROUPS; 645400* - High Energy Physics- Field Theory; 645300 - High Energy Physics- Particle Invariance Principles & Symmetries; 657003 - Theoretical & Mathematical Physics- Relativity & Gravitation

Citation Formats

David, F. Conformal field theories coupled to 2-D gravity in the conformal gauge. United States: N. p., 1988. Web. doi:10.1142/S0217732388001975.
David, F. Conformal field theories coupled to 2-D gravity in the conformal gauge. United States. https://doi.org/10.1142/S0217732388001975
David, F. 1988. "Conformal field theories coupled to 2-D gravity in the conformal gauge". United States. https://doi.org/10.1142/S0217732388001975.
@article{osti_6389104,
title = {Conformal field theories coupled to 2-D gravity in the conformal gauge},
author = {David, F},
abstractNote = {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 ..gamma.. of strings is proven and extended to arbitrary genus surfaces. The result agrees with exact results from random lattice models.},
doi = {10.1142/S0217732388001975},
url = {https://www.osti.gov/biblio/6389104}, journal = {Mod. Phys. Letters B; (United States)},
number = ,
volume = 3:17,
place = {United States},
year = {Thu Dec 01 00:00:00 EST 1988},
month = {Thu Dec 01 00:00:00 EST 1988}
}