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Abelian BF theory and Turaev-Viro invariant

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arxiv 1509.04236 v2 pith:IJCEIYKA submitted 2015-09-14 math-ph hep-thmath.MP

P. Mathieu , F. Thuillier This is my paper · ORCID
classification math-phhep-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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Cited by 1 Pith paper

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  1. Reshetikhin-Turaev construction and $\mathrm{U}(1)^n$ Chern-Simons partition function

    math-ph 2025-07 conditional novelty 6.0 of 10

    U(1)^n Chern-Simons partition functions coincide, up to normalization, with Reshetikhin-Turaev invariants built from a twisted (non-modular) category.

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