Abstract
A generalization of Wilson loop observables for BF theories in any dimension is introduced within 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 Letter has only trivalent interactions and, irrespective of the actual dimension, looks like a three-dimensional Chern–Simons theory.
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Cattaneo, A.S., Cotta-Ramusino, P. & Rossi, C.A. Loop Observables for BF Theories in Any Dimension and the Cohomology of Knots. Letters in Mathematical Physics 51, 301–316 (2000). https://doi.org/10.1023/A:1007629020730
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DOI: https://doi.org/10.1023/A:1007629020730