English

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

High Energy Physics - Theory 2009-10-28 v1

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.

Keywords

Cite

@article{arxiv.hep-th/9401032,
  title  = {Geometrical action for $w_\infty$ algebra as a reduced symplectic Chern-Simons theory},
  author = {R. P. Manvelyan and R. L. Mkrtchyan},
  journal= {arXiv preprint arXiv:hep-th/9401032},
  year   = {2009}
}

Comments

6 pages, LaTeX