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

2000/03/13 by Alberto S. Cattaneo, Paolo Cotta-Ramusino, Carlo A. Rossi
Mathematics · Physics and Astronomy · #math.QA #hep-th #math-ph #math.MP

paper · pdf

published as Lett.Math.Phys. 51 (2000) 301-316 · 13 pages

arxiv created 2000/03/13 · arxiv updated 2009/11/30

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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