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

Citation
As. Cattaneo et Ca. Rossi, Higher-dimensional B F theories in the Batalin-Vilkovisky formalism: The BV action and generalized Wilson loops, COMM MATH P, 221(3), 2001, pp. 591-657
Citations number
41
Categorie Soggetti
Physics
Journal title
COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN journal
00103616 → ACNP
Volume
221
Issue
3
Year of publication
2001
Pages
591 - 657
Database
ISI
SICI code
0010-3616(200108)221:3<591:HBFTIT>2.0.ZU;2-3
Abstract
This paper analyzes in detail the Batalin-Vilkovisky quantization procedure for BF theories on an n-dimensional manifold and describes a suitable supe rformalism to deal with the master equation and the search of observables. In particular, generalized Wilson loops for BF theories with additional pol ynomial B-interactions are discussed in any dimensions. The paper also cont ains the explicit proofs to the theorems stated in [16].