Introduction to the BV-BFV formalism

DOI10.1142/S0129055X2030006XzbMath1453.81056arXiv1905.08047MaRDI QIDQ5148345

Nima Moshayedi, Alberto Sergio Cattaneo

Publication date: 3 February 2021

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.08047

zbMATH Keywords

topological field theoriesHodge decompositionmanifolds with boundarysymplectic supermanifoldsBV formalismquantum gauge field theoriesAKSZ theoriesBFV formalism

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Quantization in field theory; cohomological methods (81T70) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Supermanifolds and graded manifolds (58A50) Deformation quantization, star products (53D55)

Related Items (8)

4-Manifold topology, Donaldson–Witten theory, Floer homology and higher gauge theory methods in the BV-BFV formalism ⋮ On globalized traces for the Poisson sigma model ⋮ Formal global AKSZ gauge observables and generalized Wilson surfaces ⋮ BV equivalence with boundary ⋮ On quantum obstruction spaces and higher codimension gauge theories ⋮ Convolution algebras for relational groupoids and reduction ⋮ On the globalization of the Poisson sigma model in the BV-BFV formalism ⋮ Globalization for perturbative quantization of nonlinear split AKSZ sigma models on manifolds with boundary

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