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Hamiltonian analysis of the BFCG theory for the Poincare 2-group

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arxiv 1508.05635 v3 pith:PPCXGXNA submitted 2015-08-23 gr-qc

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keywords hamiltoniantheorybfcgpoincareactionanalysisconstraintsgroup
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We perform the full Hamiltonian analysis of the topological BFCG action based on the Poincare 2-group. The Hamiltonian of the theory is constructed, and the algebra of constraints is computed. The Dirac brackets are evaluated, and the second class constraints are then eliminated from the theory. The results are contrasted to those of the topological Poincare gauge theory, which is equivalent to the BFCG model at the level of the classical action, but has a very different Hamiltonian structure.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  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.

  2. Categorical quantum symmetries and ribbon tensor 2-categories

    math-ph 2025-01 reject novelty 5.0 of 10

    The paper constructs ribbon balancing data and framing levels for 2Rep(U_q G), making it a candidate ribbon tensor 2-category, and recovers strict pivotality in the classical limit q=1.

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