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Constant Curvature and Non-Perturbative W3 Gravity

1991/09/17 by N. Mohammedi, Mohammedi, N.
Earth and Planetary Sciences · Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #Geophysics and Gravity Measurements #High Energy Physics - Theory (hep-th) #Relativity and Gravitational Theory #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9109031

10 pages

arxiv created 1991/09/17 · openalex publication_date 1991/09/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the new classical action for two dimensional gravity (the Jackiw-Teitelboim model) possesses a W3 algebra. We quantise the resulting W3 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 W3 gravity. Our expressions are corrections to some previously published results for this model where the W3 symmetry was not accounted for.

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