Geometry and W-Gravity

Details Geometry and W-Gravity Geometry and W-Gravity

1993-01-15

arxiv.org/abs/hep-th/9301074v1

Physics

High Energy Physics

High Energy Physics - Theory

31 pages

Scientific paper

The higher-spin geometries of $W_\infty$-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 $W_\infty$ 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.)

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