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Abelian BF theory and Turaev-Viro invariant (1509.04236v2)
Published 14 Sep 2015 in math-ph, hep-th, and math.MP
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.