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Exact computations in topological abelian Chern-Simons and BF theories

Published 28 May 2017 in math-ph, hep-th, and math.MP | (1705.09945v2)

Abstract: We introduce Deligne cohomology that classifies U(1) fibre bundles over 3-manifolds endowed with connections. We show how the structure of Deligne cohomology classes provides a way to perform exact (non-perturbative) computations in U(1) Chern-Simons theory (resp. BF theory) at the level of functional integrals. The partition functions (and observables) of these theories are strongly related to topological invariants well-known by the mathematicians.

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Authors (1)

  1. Philippe Mathieu 

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