The dynamical structure of higher dimensional Chern-Simons theory

Details The dynamical structure of higher dimensional Chern-Simons theory The dynamical structure of higher dimensional Chern-Simons theory

1996-05-22

arxiv.org/abs/hep-th/9605159v2

Nucl.Phys. B476 (1996) 611-635

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, LaTeX2.09, no figures, minor bibliographical changes

Scientific paper

10.1016/0550-3213(96)00384-7

Higher dimensional Chern-Simons theories, even though constructed along the same topological pattern as in 2+1 dimensions, have been shown recently to have generically a non-vanishing number of degrees of freedom. In this paper, we carry out the complete Dirac Hamiltonian analysis (separation of first and second class constraints and calculation of the Dirac bracket) for a group GxU(1). We also study the algebra of surface charges that arise in the presence of boundaries and show that it is isomorphic to the WZW4 discussed in the literature. Some applications are then considered. It is shown, in particular, that Chern-Simons gravity in dimensions greater than or equal to five has a propagating torsion.

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