BF Theories and 2-knots
| dc.creator | Cotta-Ramusino, P. | |
| dc.creator | Martellini, M. | |
| dc.date | 1994-07-16 | |
| dc.date.accessioned | 2026-07-07T04:20:21Z | |
| dc.date.available | 2026-07-07T04:20:21Z | |
| dc.description | We discuss the relations between (topological) quantum field theories in 4 dimensions and the theory of 2-knots (embedded 2-spheres in a 4-manifold). The so-called BF theories allow the construction of quantum operators whose trace can be considered as the higher-dimensional generalization of Wilson lines for knots in 3-dimensions. First-order perturbative calculations lead to higher dimensional linking numbers, and it is possible to establish a heuristic relation between BF theories and Alexander invariants. Functional integration-by-parts techniques allow the recovery of an infinitesimal version of the Zamolodchikov tetrahedron equation, in the form considered by Carter and Saito. | |
| dc.description | 16 pages; LaTeX; IFUM 461/FT | |
| dc.identifier | https://arxiv.org/abs/hep-th/9407097 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9407097 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53922 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | BF Theories and 2-knots | |
| dc.type | text |