Abelian BF theory and Turaev-Viro invariant
classification
🧮 math-ph
hep-thmath.MP
keywords
abelianinvarianttheoryturaev-virocasechern-simonscohomologycoincides
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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.
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