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BF Theories and 2-knots | | P. Cotta-Ramusino
; M. Martellini
; | | Date: |
16 Jul 1994 | | Subject: | hep-th | | Abstract: | 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. | | Source: | arXiv, hep-th/9407097 | | Services: | Forum | Review | PDF | Favorites | |
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