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Chern-Simons p-Branes and p-Dimensional Classical W-Algebras

1993/04/19 by R. P. Zaikov, Raiko P. Zaikov, Zaikov, Raiko P.
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Homotopy and Cohomology in Algebraic Topology #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9304075

INRNE-TH/1/93, harvmac, 18 pages

arxiv created 1993/04/19 · arxiv updated 2009/11/30

Abstract

It is shown that the generalized (with nonpolynomial Lagrangian) Chern-Simons membranes and in general p-branes moving in D-dimensional target space admit an infinite set of secondary constraints. With respect to the Poisson bracket these constraints satisfy closed algebra containing p-dimensional classical W algebra as a subalgebra. In the case when the target space dimension D is finite the theory is topological.

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