Split Chern-Simons theory in the BV-BFV formalism
arXiv:1512.00588 · doi:10.1007/978-3-319-65427-0_9
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.
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
References in corpus (3)
Cited by in corpus (11)
- Perturbative quantum gauge theories on manifolds with boundary
- Asymptotic symmetries in the BV-BFV formalism
- Towards holography in the BV-BFV setting
- Globalization for Perturbative Quantization of Nonlinear Split AKSZ Sigma Models on Manifolds with Boundary
- General Relativity and the AKSZ construction
- BV equivalence with boundary
- Formal Global AKSZ Gauge Observables and Generalized Wilson Surfaces
- On Quantum Obstruction Spaces and Higher Codimension Gauge Theories
- Theta Invariants of lens spaces via the BV-BFV formalism
- Quantizing Derived Mapping Stacks
- Formal Global Perturbative Quantization of the Rozansky-Witten Model in the BV-BFV Formalism