Cattaneo, A S; Cotta-Ramusino, P; Rossi, C (2000). Loop observables for BF theories in any dimension and the cohomology of knots. Letters in Mathematical Physics, 51(4):301-316.
A generalization of Wilson loop observables for BF theories in any dimension is introduced within the Batalin–Vilkovisky framework. The expectation values of these observables are cohomology classes of the space of imbeddings of a circle. One of the resulting theories discussed in the Letter has only trivalent interactions and, irrespective of the actual dimension, looks like a three-dimensional Chern–Simons theory.
A generalization of Wilson loop observables for BF theories in any dimension is introduced within the Batalin–Vilkovisky framework. The expectation values of these observables are cohomology classes of the space of imbeddings of a circle. One of the resulting theories discussed in the Letter has only trivalent interactions and, irrespective of the actual dimension, looks like a three-dimensional Chern–Simons theory.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Statistical and Nonlinear Physics
Physical Sciences > Mathematical Physics |
| Uncontrolled Keywords: | BF theory - Chern–Simons theory - topological quantum field theories - Wilson loops - Chen's iterated integrals - ghosts and antighosts - ghosts for ghosts - Batalin–Vilkovisky (BV) formalism - superconnections - cohomology of knots |
| Language: | English |
| Date: | 2000 |
| Deposited On: | 27 Jan 2010 12:16 |
| Last Modified: | 23 Jan 2022 14:40 |
| Publisher: | Springer |
| ISSN: | 0377-9017 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1023/A:1007629020730 |
Cattaneo, A S