AST419 - Chiral Differential Operators via Batalin-Vilkovisky Quantization

DOI10.24033/ast.1121OpenAlexW3081788355MaRDI QIDQ5130440

Vassily Gorbounov, Owen Gwilliam, Brian R. Williams

Publication date: 4 November 2020

Published in: Astérisque (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.09657

zbMATH Keywords

conformal field theoryquantum field theoryvertex algebrasBatalin-Vilkovisky formalismWitten genusanomaliesformal geometryfactorization algebras

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Quantization in field theory; cohomological methods (81T70) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Applications of differential geometry to physics (53Z05) Deformation quantization, star products (53D55) Elliptic cohomology (55N34)

Related Items (11)

On the geometric interpretation of certain vertex algebras and their modules ⋮ Geometry of localized effective theories, exact semi-classical approximation and the algebraic index ⋮ A physical origin for singular support conditions in geometric Langlands theory ⋮ Higgs and Coulomb branches from vertex operator algebras ⋮ Boundary chiral algebras and holomorphic twists ⋮ Holomorphic field theories and Calabi–Yau algebras ⋮ Renormalization for holomorphic field theories ⋮ A mathematical analysis of the axial anomaly ⋮ LIE ALGEBROIDS AS SPACES ⋮ The holomorphic bosonic string ⋮ Topological twists of supersymmetric algebras of observables

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