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Abstract: Action principles of the BF type for diffeomorphism invariant topologicalfield theories living in n-dimensional spacetime manifolds are presented. Theirconstruction is inspired by Cuesta and Montesinos- recent paper where Cartan-sfirst and second structure equations together with first and second Bianchiidentities are treated as the equations of motion for a field theory. Inopposition to that paper, the current approach involves also auxiliary fieldsand holds for arbitrary n-dimensional spacetimes. Dirac-s canonical analysisfor the actions is detailedly carried out in the generic case and it is shownthat these action principles define topological field theories, as mentioned.The current formalism is a generic framework to construct geometric theorieswith local degrees of freedom by introducing additional constraints on thevarious fields involved that destroy the topological character of the originaltheory. The latter idea is implemented in two-dimensional spacetimes wheregravity coupled to matter fields is constructed out, which has indeed localexcitations.



Author: Vladimir Cuesta, Merced Montesinos, Mercedes Velazquez, Jose David Vergara

Source: https://arxiv.org/



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