Abelian BF theory and Turaev-Viro invariant

Abstract

The U(1) BF Quantum Field Theory is revisited in the light of Deligne-Beilinson Cohomology. We show how the U(1) Chern-Simons partition function is related to the BF one and how the latter on its turn coincides with an abelian Turaev-Viro invariant. Significant differences compared to the non-abelian case are highlighted.

47 pages and 6 figures

References in corpus (3)

• Turaev-Viro invariants as an extended TQFT
• A Note On The Chern-Simons And Kodama Wavefunctions
• Path-integral invariants in abelian Chern-Simons theory

Cited by in corpus (9)

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• Perturbative BF theory
• Renormalized Schwinger-Dyson functional
• 3D Topological Models and Heegaard Splitting I: Partition Function
• 3D Topological Models and Heegaard Splitting II: Pontryagin duality and Observables
• Gauge fixing and metric independence in topological quantum theories