Exact Computations in Topological Abelian Chern-Simons and BF Theories
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 i...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/2878949 |
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| _version_ | 1832552447122341888 |
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| author | Philippe Mathieu |
| author_facet | Philippe Mathieu |
| author_sort | Philippe Mathieu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-95c42a5e04b742f2afe37918a23c6c10 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-95c42a5e04b742f2afe37918a23c6c102025-02-03T05:58:45ZengWileyAdvances in High Energy Physics1687-73571687-73652017-01-01201710.1155/2017/28789492878949Exact Computations in Topological Abelian Chern-Simons and BF TheoriesPhilippe Mathieu0LAPTh, Université de Savoie, CNRS, Chemin de Bellevue, BP 110, 74941 Annecy-le-Vieux Cedex, FranceWe 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.http://dx.doi.org/10.1155/2017/2878949 |
| spellingShingle | Philippe Mathieu Exact Computations in Topological Abelian Chern-Simons and BF Theories Advances in High Energy Physics |
| title | Exact Computations in Topological Abelian Chern-Simons and BF Theories |
| title_full | Exact Computations in Topological Abelian Chern-Simons and BF Theories |
| title_fullStr | Exact Computations in Topological Abelian Chern-Simons and BF Theories |
| title_full_unstemmed | Exact Computations in Topological Abelian Chern-Simons and BF Theories |
| title_short | Exact Computations in Topological Abelian Chern-Simons and BF Theories |
| title_sort | exact computations in topological abelian chern simons and bf theories |
| url | http://dx.doi.org/10.1155/2017/2878949 |
| work_keys_str_mv | AT philippemathieu exactcomputationsintopologicalabelianchernsimonsandbftheories |