2000/10/31 by Alberto S. Cattaneo, Carlo A. Rossi · 57 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Algorithm #Black Holes and Theoretical Physics #Formalism (music) #Geometry #Master equation #Mathematical physics #Mathematical proof #Mathematics #Nonlinear Waves and Solitons #Observable #Physics #Pure mathematics #Quantization (signal processing) #Quantum #Quantum mechanics #Theoretical physics #hep-th #math-ph #math.DG #math.MP #math.QA #msc:58D10 #msc:81T13 #msc:81T45 #msc:81T70
paper · pdf · doi:10.1007/s002200100484
published in Communications in Mathematical Physics 221(3), 591-657 (Springer Science+Business Media) · 58 pages. Typos corrected; references updated. To appear in Commun. Math. Phys
arxiv created 2001/04/11 · openalex publication_date 2001/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.