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

Abstract

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.

v3: 18 pages, published version

References in corpus (2)

• Higher-Dimensional Algebra V: 2-Groups
• Spin-cube Models of Quantum Gravity

Cited by in corpus (4)

• Higher Gauge Theory and Integrability
• Symmetry breaking mechanisms of the 3BF action for the Standard Model coupled to gravity
• Correspondence between 3BF and Einstein-Cartan formulations of quantum gravity
• Categorical generalization of BF theory coupled to gravity