Geometry of localized effective theories, exact semi-classical approximation and the algebraic index

DOI10.1007/s00220-021-03944-zzbMath1460.81056arXiv1911.11173OpenAlexW3126849035MaRDI QIDQ2662090

Si Li, Kai Xu, Zhengping Gui

Publication date: 8 April 2021

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

Full work available at URL: https://arxiv.org/abs/1911.11173

Mathematics Subject Classification ID

Feynman diagrams (81T18) (Semi-) Fredholm operators; index theories (47A53) Applications of manifolds of mappings to the sciences (58D30) Topological field theories in quantum mechanics (81T45) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Manifolds of mappings (58D15) Riemann-Roch theorems, Chern characters (19L10) Effective quantum field theories (81T12)

Related Items (3)

Chern classes of quantizable coisotropic bundles ⋮ Homotopy transfer for QFT on non-compact manifolds with boundary: a case study ⋮ Vertex algebras and quantum master equation

Cites Work

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• Hochschild cohomology of the Weyl algebra and traces in deformation quantization
• Compatibility with cap-products in Tsygan's formality and homological Duflo isomorphism
• The character map in deformation quantization
• One-dimensional Chern-Simons theory and the \(\widehat{A}\) genus
• An algebraic index theorem for orbifolds
• Cyclic cocycles on deformation quantizations and higher index theorems
• Hochschild cohomology and Atiyah classes
• Quantum field theory techniques in graphical enumeration
• Supersymmetry and Morse theory
• Chern-Simons perturbation theory. II
• Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
• A simple geometrical construction of deformation quantization
• Riemann-Roch theorems via deformation quantization. I
• Riemann-Roch theorems via deformation quantization. II
• Algebraic index theorem
• The Atiyah-Bott-Patodi method in deformation quantization
• Renormalization for holomorphic field theories
• Batalin-Vilkovisky quantization and the algebraic index
• Cyclic cohomology of the Weyl algebra
• The Geometry of the Master Equation and Topological Quantum Field Theory
• Factorization Algebras in Quantum Field Theory
• A geometric construction of the Witten genus, I
• INTRODUCTION TO COHOMOLOGICAL FIELD THEORIES
• Localization techniques in quantum field theories
• AST419 - Chiral Differential Operators via Batalin-Vilkovisky Quantization
• Supersymmetry and the Atiyah-Singer index theorem

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