A reciprocity formula from abelian BF and Turaev–Viro theories
In this article we show that the use of Deligne–Beilinson cohomology in the context of the U(1) BF theory on a closed 3-manifold M yields a discrete ZN BF theory whose partition function is an abelian TV invariant of M. By comparing the expectation values of the U(1) and ZN holonomies in both BF the...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2016-11-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S055032131630102X |
| _version_ | 1818131795662602240 |
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| author | P. Mathieu F. Thuillier |
| author_facet | P. Mathieu F. Thuillier |
| author_sort | P. Mathieu |
| collection | DOAJ |
| description | In this article we show that the use of Deligne–Beilinson cohomology in the context of the U(1) BF theory on a closed 3-manifold M yields a discrete ZN BF theory whose partition function is an abelian TV invariant of M. By comparing the expectation values of the U(1) and ZN holonomies in both BF theories we obtain a reciprocity formula. |
| first_indexed | 2024-12-11T08:26:37Z |
| format | Article |
| id | doaj.art-7217c4f826ab43338a693269891b35ef |
| institution | Directory Open Access Journal |
| issn | 0550-3213 1873-1562 |
| language | English |
| last_indexed | 2024-12-11T08:26:37Z |
| publishDate | 2016-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-7217c4f826ab43338a693269891b35ef2022-12-22T01:14:32ZengElsevierNuclear Physics B0550-32131873-15622016-11-01912C32735310.1016/j.nuclphysb.2016.05.007A reciprocity formula from abelian BF and Turaev–Viro theoriesP. MathieuF. ThuillierIn this article we show that the use of Deligne–Beilinson cohomology in the context of the U(1) BF theory on a closed 3-manifold M yields a discrete ZN BF theory whose partition function is an abelian TV invariant of M. By comparing the expectation values of the U(1) and ZN holonomies in both BF theories we obtain a reciprocity formula.http://www.sciencedirect.com/science/article/pii/S055032131630102X |
| spellingShingle | P. Mathieu F. Thuillier A reciprocity formula from abelian BF and Turaev–Viro theories Nuclear Physics B |
| title | A reciprocity formula from abelian BF and Turaev–Viro theories |
| title_full | A reciprocity formula from abelian BF and Turaev–Viro theories |
| title_fullStr | A reciprocity formula from abelian BF and Turaev–Viro theories |
| title_full_unstemmed | A reciprocity formula from abelian BF and Turaev–Viro theories |
| title_short | A reciprocity formula from abelian BF and Turaev–Viro theories |
| title_sort | reciprocity formula from abelian bf and turaev viro theories |
| url | http://www.sciencedirect.com/science/article/pii/S055032131630102X |
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