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arxiv: math/0003073 · v1 · pith:EI4HZ35Knew · submitted 2000-03-13 · 🧮 math.QA · hep-th· math-ph· math.MP

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

classification 🧮 math.QA hep-thmath-phmath.MP
keywords dimensionobservablestheoriescohomologyloopactualbatalin-vilkoviskychern-simons
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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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