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18 April 2024

» arxiv » math.QA/0003073

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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 ;
Date:	13 Mar 2000
Journal:	Lett.Math.Phys. 51 (2000) 301-316
Subject:	Quantum Algebra; Mathematical Physics \| math.QA hep-th math-ph math.MP
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.
Source:	arXiv, math.QA/0003073
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