Globalization for perturbative quantization of nonlinear split AKSZ sigma models on manifolds with boundary

DOI10.1007/s00220-019-03591-5zbMath1430.58007arXiv1807.11782OpenAlexW3103683727WikidataQ126864766 ScholiaQ126864766MaRDI QIDQ2008954

Konstantin Wernli, Nima Moshayedi, Alberto Sergio Cattaneo

Publication date: 26 November 2019

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

Full work available at URL: https://arxiv.org/abs/1807.11782

zbMATH Keywords

quantum master equationformal geometryperturbative quantizationBV-BFV formalismdifferential quantum master equation

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81T99) Supermanifolds and graded manifolds (58A50) Spaces and manifolds of mappings (including nonlinear versions of 46Exx) (58D99)

Related Items (14)

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 ⋮ Constrained systems, generalized Hamilton-Jacobi actions, and quantization ⋮ BV and BFV for the H-twisted 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 ⋮ Introduction to the BV-BFV formalism ⋮ Convolution algebras for relational groupoids and reduction ⋮ On the globalization of the Poisson sigma model in the BV-BFV formalism ⋮ Asymptotic symmetries in the BV-BFV formalism ⋮ General relativity and the AKSZ construction ⋮ Formal global perturbative quantization of the Rozansky-Witten model in the BV-BFV formalism ⋮ Theta invariants of lens spaces via the BV-BFV formalism

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Classical BV theories on manifolds with boundary
• Covariant and equivariant formality theorems
• One-dimensional Chern-Simons theory and the \(\widehat{A}\) genus
• On the origin of the BV operator on odd symplectic supermanifolds
• On simplicial \(BF\) theory
• Quantum field theory and the Jones polynomial
• Integral invariants of 3-manifolds
• Geometry of Batalin-Vilkovisky quantization
• A compactification of configuration spaces
• Chern-Simons perturbation theory. II
• Two-dimensional gravity and nonlinear gauge theory
• From local to global deformation quantization of Poisson manifolds
• A path integral approach to the Kontsevich quantization formula.
• Deformation quantization of Poisson manifolds
• Semidensities on odd symplectic supermanifolds
• On the globalization of the Poisson sigma model in the BV-BFV formalism
• Batalin-Vilkovisky quantization and the algebraic index
• The Poisson sigma model on closed surfaces
• Two-dimensional Yang-Mills theory on surfaces with corners in Batalin-Vilkovisky formalism
• Relational symplectic groupoids
• Relational symplectic groupoid quantization for constant Poisson structures
• Perturbative quantum gauge theories on manifolds with boundary
• POISSON STRUCTURE INDUCED (TOPOLOGICAL) FIELD THEORIES
• The Geometry of the Master Equation and Topological Quantum Field Theory
• GROUPOIDS AND POISSON SIGMA MODELS WITH BOUNDARY
• A geometric construction of the Witten genus, I
• Lectures on Quantization of Gauge Systems
• Split Chern–Simons Theory in the BV-BFV Formalism
• Introduction to the BV-BFV formalism
• Quantum Field Theory: Batalin–Vilkovisky Formalism and Its Applications
• Formal Exponential Map for Graded Manifolds
• Space-Time Approach to Quantum Electrodynamics
• Mathematical Formulation of the Quantum Theory of Electromagnetic Interaction
• A generalized canonical formalism and quantization of reducible gauge theories
• Quantization of relativistic systems with constraints
• On the AKSZ formulation of the Poisson sigma model.

This page was built for publication: Globalization for perturbative quantization of nonlinear split AKSZ sigma models on manifolds with boundary