Higher-dimensional BF theories in the Batalin-Vilkovisky formalism: The BV action and generalized Wilson loops

Details Higher-dimensional BF theories in the Batalin-Vilkovisky formalism: The BV action and generalized Wilson loops Higher-dimensional BF theories in the Batalin-Vilkovisky formalism: The BV action and generalized Wilson loops

2000-10-17

arxiv.org/abs/math/0010172v2

Commun.Math.Phys. 221 (2001) 591-657

Mathematics

Quantum Algebra

58 pages. Typos corrected; references updated. To appear in Commun. Math. Phys

Scientific paper

10.1007/s002200100484

This paper analyzes in details the Batalin-Vilkovisky quantization procedure for BF theories on n-dimensional manifolds and describes a suitable superformalism to deal with the master equation and the search of observables. In particular, generalized Wilson loops for BF theories with additional polynomial B-interactions are discussed in any dimensions. The paper also contains the explicit proofs to the Theorems stated in math.QA/0003073.

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