The dynamical structure of higher dimensional Chern-Simons theory
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 f...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1996 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/59553 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/59553 |
| Access Level: | acceso abierto |
| Palabra clave: | 51-73 Hamiltonian-formulation General-relativity Quantum-gravity Current-algebra Edge currents Field-theory Quantization Supergravity Symmetries Charges Física-Modelos matemáticos Física matemática |
| Sumario: | 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 G x 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 Chem-Simons gravity in dimensions greater than or equal to five has a propagating torsion. |
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