Exact Computations in Topological Abelian Chern-Simons and BF Theories
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We introduce Deligne cohomology that classifies U1 fibre bundles over 3 manifolds endowed with connections. We show how the structure of Deligne cohomology classes provides a way to perform exact (nonperturbative) computations in U1 Chern-Simons theory (BF theory, resp.) at the level of functional integrals. The partition functions (and observables) of these theories are strongly related to topological invariants well known to the mathematicians.
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2008 ◽
Vol 119
(5)
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pp. 863-882
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2004 ◽
Vol 19
(18)
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pp. 1365-1378
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1992 ◽
Vol 07
(23)
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pp. 2065-2076
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2005 ◽
Vol 46
(12)
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pp. 122302
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