On globalized traces for the Poisson sigma model

DOI10.1007/s00220-022-04371-4zbMath1498.81106arXiv1912.02435OpenAlexW2992737653MaRDI QIDQ2147987

Nima Moshayedi

Publication date: 21 June 2022

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

Full work available at URL: https://arxiv.org/abs/1912.02435

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Poisson manifolds; Poisson groupoids and algebroids (53D17) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Stable module categories (18G65)

Related Items (1)

4-Manifold topology, Donaldson–Witten theory, Floer homology and higher gauge theory methods in the BV-BFV formalism

Cites Work

• Formality of cyclic cochains
• Classical BV theories on manifolds with boundary
• The character map in deformation quantization
• A formality theorem for Hochschild chains.
• The Kontsevich weight of a wheel with spokes pointing outward
• On the origin of the BV operator on odd symplectic supermanifolds
• Non-commutative differential geometry
• Integral invariants of 3-manifolds
• Closed star products and cyclic cohomology
• Batalin-Vilkovisky algebras and two-dimensional topological field theories
• A compactification of configuration spaces
• Chern-Simons perturbation theory. II
• Two-dimensional gravity and nonlinear gauge theory
• A simple geometrical construction of deformation quantization
• From local to global deformation quantization of Poisson manifolds
• A proof of the Tsygan formality conjecture for chains.
• A path integral approach to the Kontsevich quantization formula.
• Deformation quantization of Poisson manifolds
• Semidensities on odd symplectic supermanifolds
• Algebraic index theorem
• 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
• Batalin-Vilkovisky quantization and the algebraic index
• Equivariant Batalin-Vilkovisky formalism
• The Poisson sigma model on closed surfaces
• The cohomology structure of an associative ring
• Perturbative quantum gauge theories on manifolds with boundary
• A counterexample to the quantizability of modules
• POISSON STRUCTURE INDUCED (TOPOLOGICAL) FIELD THEORIES
• Effective Batalin--Vilkovisky theories, equivariant configuration spaces and cyclic chains
• Formality of Cyclic Chains
• An algebraic index theorem for Poisson manifolds
• Introduction to the BV-BFV formalism
• A generalized canonical formalism and quantization of reducible gauge theories
• Cyclic formality and index theorem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On globalized traces for the Poisson sigma model