Canonical sectors of five-dimensional Chern-Simons theories

Details Canonical sectors of five-dimensional Chern-Simons theories Canonical sectors of five-dimensional Chern-Simons theories

2005-04-06

arxiv.org/abs/hep-th/0504055v1

Phys.Lett. B615 (2005) 277-284

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, no figures

Scientific paper

10.1016/j.physletb.2005.04.043

The dynamics of five-dimensional Chern-Simons theories is analyzed. These theories are characterized by intricate self couplings which give rise to dynamical features not present in standard theories. As a consequence, Dirac's canonical formalism cannot be directly applied due to the presence of degeneracies of the symplectic form and irregularities of the constraints on some surfaces of phase space, obscuring the dynamical content of these theories. Here we identify conditions that define sectors where the canonical formalism can be applied for a class of non-Abelian Chern-Simons theories, including supergravity. A family of solutions satisfying the canonical requirements is explicitly found. The splitting between first and second class constraints is performed around these backgrounds, allowing the construction of the charge algebra, including its central extension.

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