Linear Batalin-Vilkovisky quantization as a functor of \(\infty \)-categories

DOI10.1007/s00029-018-0396-0zbMath1456.18018arXiv1608.01290OpenAlexW2964255908MaRDI QIDQ1744786

Owen Gwilliam, Rune Haugseng

Publication date: 19 April 2018

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.01290

zbMATH Keywords

enveloping algebrasderived algebraic geometryBV formalismHeisenberg Lie algebrasBV quantisation

Mathematics Subject Classification ID

Quantization in field theory; cohomological methods (81T70) Homological methods in Lie (super)algebras (17B55) Deformation quantization, star products (53D55) Formal methods and deformations in algebraic geometry (14D15) Homotopical algebra, Quillen model categories, derivators (18N40) Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.) (14A30) Topological and simplicial operads (18M75) ((infty,1))-categories (quasi-categories, Segal spaces, etc.); (infty)-topoi, stable (infty)-categories (18N60)

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The ghost fields and the BV extension for finite spectral triples, SHIFTED COISOTROPIC CORRESPONDENCES, Basic structures on derived critical loci, Green hyperbolic complexes on Lorentzian manifolds, Coloring Operads for Algebraic Field Theory, Quantization of \((-1)\)-shifted derived Poisson manifolds, Ruelle zeta function from field theory, Weyl \(n\)-algebras, Homotopy theory of algebraic quantum field theories, Algebraic field theory operads and linear quantization, Braces and Poisson additivity, Relating nets and factorization algebras of observables: free field theories, How to derive Feynman diagrams for finite-dimensional integrals directly from the BV formalism, The holomorphic bosonic string

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