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Constant curvature and non-perturbative W{sub 3} gravity

Abstract

We show that the new classical action for two dimensional gravity (the Jackiw-Teitelboim model) possesses a W{sub 3} algebra. We quantise the resulting W{sub 3} gravity in the presence of matter fields with arbitrary central charges and obtain the critical exponents. The auxiliary field of the model, expressing the constancy of the scalar curvature, can be interpreted as one of the physical degrees of freedom of the W{sub 3} gravity. Our expressions are corrections to some previously published results for this model where the W{sub 3} symmetry was not accounted for. (author). 24 refs.
Authors:
Publication Date:
Sep 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/310
Reference Number:
SCA: 662100; PA: AIX-23:017646; SN: 92000661419
Resource Relation:
Other Information: PBD: Sep 1991
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; GRAVITATION; ACTION INTEGRAL; ALGEBRA; CONFORMAL INVARIANCE; ENERGY-MOMENTUM TENSOR; METRICS; SCALAR FIELDS; SYMMETRY; 662100; GENERAL THEORY OF PARTICLES AND FIELDS
OSTI ID:
10118383
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92616919; TRN: XA9230495017646
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
10 p.
Announcement Date:
Jun 30, 2005

Citation Formats

Mohammedi, N. Constant curvature and non-perturbative W{sub 3} gravity. IAEA: N. p., 1991. Web.
Mohammedi, N. Constant curvature and non-perturbative W{sub 3} gravity. IAEA.
Mohammedi, N. 1991. "Constant curvature and non-perturbative W{sub 3} gravity." IAEA.
@misc{etde_10118383,
title = {Constant curvature and non-perturbative W{sub 3} gravity}
author = {Mohammedi, N}
abstractNote = {We show that the new classical action for two dimensional gravity (the Jackiw-Teitelboim model) possesses a W{sub 3} algebra. We quantise the resulting W{sub 3} gravity in the presence of matter fields with arbitrary central charges and obtain the critical exponents. The auxiliary field of the model, expressing the constancy of the scalar curvature, can be interpreted as one of the physical degrees of freedom of the W{sub 3} gravity. Our expressions are corrections to some previously published results for this model where the W{sub 3} symmetry was not accounted for. (author). 24 refs.}
place = {IAEA}
year = {1991}
month = {Sep}
}