The dynamical structure of higher dimensional ChernSimons theory
Abstract
Higher dimensional ChernSimons theorìes, even though constructed along the same topological pattern as in 2 + 1 dimensions, have been shown recently to have generically a nonvanishing 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 G × U(1). We also study the algebra of surface charges that arise in the presence of boundaries and show that it is isomorphic to the WZW _{4} discussed in the literature. Some applications are then considered. It is shown, in particular, that ChernSimons gravity in dimensions greater than or equal to five has a propagating torsion.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1996
 DOI:
 10.1016/05503213(96)003847
 arXiv:
 arXiv:hepth/9605159
 Bibcode:
 1996NuPhB.476..611B
 Keywords:

 High Energy Physics  Theory
 EPrint:
 24 pages, LaTeX2.09, no figures, minor bibliographical changes