Geometrical action for $w_{\infty }$ algebra as a reduced symplectic Chern-Simons theory

Abstract

The geometric action on a certain orbit of the group of the area-preserving diffeomorphisms is considered, and it is shown, that it coincides with a special reduction of the three-dimensional Chern-Simons theory, under which group and space coordinates are identified.

6 pages, LaTeX

References in corpus (2)

• String field actions from W-infinity
• Geometry and Physics on $w_{\infty }$ Orbits

Cited by in corpus (5)

• Noncommutative Planar Particle Dynamics with Gauge Interactions
• Deformed Chern-Simons interaction for nonrelativistic point particles
• Area Preserving Transformations in Non-commutative Space and NCCS Theory
• Geometric Transformations and NCCS Theory in the Lowest Landau Level
• Three dimensional gravity and Quantum Hall Effect