Geometry and W-Gravity

1993/01/15 by C.M. Hull, C. M. Hull, Hull, C. M. · 2 citations
Earth and Planetary Sciences · Physics and Astronomy · #Cosmology and Gravitation Theories #Earth Systems and Cosmic Evolution #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Relativity and Gravitational Theory #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9301074

31 pages

arxiv created 1993/01/15 · openalex publication_date 1993/01/15 · arxiv updated 2016/09/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The higher-spin geometries of W_∞-gravity and W_N-gravity are analysed and used to derive the complete non-linear structure of the coupling to matter and its symmetries. The symmetry group is a subgroup of the symplectic diffeomorphisms of the cotangent bundle of the world-sheet, and the W_N geometry is obtained from a non-linear truncation of the W_∞ geometry. Quantum W-gravity is briefly discussed. (Talk given at \it Pathways to Fundamental Interactions, the 16th John Hopkins Workshop on Current Problems in Particle Theory, Gothenborg, 1992.)

Cited by

• The geometric structure of N gravity
• The geometry of algebra: a twofold way for the rebirth of a symmetry

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• Introduction to Differential W-Geometry
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