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Split Chern–Simons Theory in the BV-BFV Formalism

2015/12/04 by Alberto S. Cattaneo, Pavel Mnëv, Pavel Mnev +1 · 20 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Chern–Simons theory #Formalism (music) #Gauge theory #Lagrangian #Literature #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Theoretical physics #hep-th #math-ph #math.GT #math.MP #math.QA

paper · pdf · doi:10.1007/978-3-319-65427-0_9

published in Mathematical physics studies, 293-324 (Springer Science+Business Media) · 19 pages, 2 figures. Based on the contribution presented at "Geometric, Algebraic and Topological Methods for Quantum Field Theory", July 20-31, Villa de Leyva, Colombia v2: First author's name changed to include middle name

arxiv created 2015/12/04 · openalex publication_date 2017/01/01 · arxiv updated 2020/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The goal of this note is to give a brief overview of the BV-BFV formalism developed by the first two authors and Reshetikhin in (Cattaneo et al., Commun Math Phys 332(2), 535–603, 2014) [ 9 ], (Cattaneo et al., Perturbative Quantum Gauge Theories on Manifolds with Boundary, 2015) [ 10 ] in order to perform perturbative quantisation of Lagrangian field theories on manifolds with boundary, and present a special case of Chern–Simons theory as a new example.

Citations