Topological field theories in n-dimensional spacetimes and Cartan's equations

Simple item page
dc.creatorCuesta, Vladimir
dc.creatorMontesinos, Merced
dc.creatorVelazquez, Mercedes
dc.creatorVergara, Jose David
dc.date2008-09-16
dc.date.accessioned2026-07-07T10:16:18Z
dc.date.available2026-07-07T10:16:18Z
dc.descriptionAction principles of the BF type for diffeomorphism invariant topological field theories living in n-dimensional spacetime manifolds are presented. Their construction is inspired by Cuesta and Montesinos' recent paper where Cartan's first and second structure equations together with first and second Bianchi identities are treated as the equations of motion for a field theory. In opposition to that paper, the current approach involves also auxiliary fields and holds for arbitrary n-dimensional spacetimes. Dirac's canonical analysis for the actions is detailedly carried out in the generic case and it is shown that these action principles define topological field theories, as mentioned. The current formalism is a generic framework to construct geometric theories with local degrees of freedom by introducing additional constraints on the various fields involved that destroy the topological character of the original theory. The latter idea is implemented in two-dimensional spacetimes where gravity coupled to matter fields is constructed out, which has indeed local excitations.
dc.descriptionLaTeX file, no figures
dc.identifierhttps://arxiv.org/abs/0809.2741
dc.identifierhttp://arxiv.org/abs/0809.2741
dc.identifierPhys.Rev.D78:064046,2008
dc.identifierdoi:10.1103/PhysRevD.78.064046
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173460
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleTopological field theories in n-dimensional spacetimes and Cartan's equations
dc.typetext

Files

Collections

arXiv