English

Split Chern-Simons theory in the BV-BFV formalism

Geometric Topology 2020-02-03 v2 High Energy Physics - Theory Mathematical Physics math.MP Quantum Algebra

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 [arXiv:1201.0290], [arXiv:1507.01221] 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.

Cite

@article{arxiv.1512.00588,
  title  = {Split Chern-Simons theory in the BV-BFV formalism},
  author = {Alberto S. Cattaneo and Pavel Mnev and Konstantin Wernli},
  journal= {arXiv preprint arXiv:1512.00588},
  year   = {2020}
}

Comments

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

R2 v1 2026-06-22T11:59:20.458Z