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Hamiltonian analysis of the BFCG theory for a strict Lie 2-group

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arxiv 1610.09621 v3 pith:6JOBILO4 submitted 2016-10-30 math-ph gr-qchep-thmath.MP

classification math-phgr-qchep-thmath.MP
keywords bfcgtheoryanalysisgrouphamiltonianactioncompleteconstraints
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We perform a complete Hamiltonian analysis of the BFCG action for a general Lie 2-group by using the Dirac procedure. We show that the resulting dynamical constraints eliminate all local degrees of freedom which implies that the BFCG theory is a topological field theory.

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Cited by 1 Pith paper

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  1. A 3BF model of quantum gravity coupled to Standard Model matter

    hep-th 2026-02 conditional novelty 6.0 of 10

    A 3BF higher-gauge model of quantum gravity with the full Standard Model is discretized on a piecewise-flat manifold, yielding a concrete path integral.

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