Loop observables for BF theories in any dimension and the cohomology of knots

Details Loop observables for BF theories in any dimension and the cohomology of knots Loop observables for BF theories in any dimension and the cohomology of knots

2000-03-13

arxiv.org/abs/math/0003073v1

Lett.Math.Phys. 51 (2000) 301-316

Mathematics

Quantum Algebra

13 pages

Scientific paper

A generalization of Wilson loop observables for BF theories in any dimension is introduced in 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 paper has only trivalent interactions and, irrespective of the actual dimension, looks like a 3-dimensional Chern-Simons theory.

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