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

Alberto S. Cattaneo·Paolo Cotta-Ramusino·Carlo A. Rossi
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Abstract

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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Alberto S. Cattaneo, Paolo Cotta-Ramusino, Carlo A. Rossi. 2000-03-13. Loop observables for BF theories in any dimension and the cohomology of knots. https://arxiv.org/abs/math/0003073

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