Factorization Algebras in Quantum Field Theory

DOI10.1017/9781316678664OpenAlexW4213105989MaRDI QIDQ5003114

Kevin Costello, Owen Gwilliam

Publication date: 29 July 2021

Full work available at URL: https://doi.org/10.1017/9781316678664

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Model quantum field theories (81T10) Vertex operators; vertex operator algebras and related structures (17B69) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Quantization in field theory; cohomological methods (81T70) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Topological field theories in quantum mechanics (81T45) Graded Lie (super)algebras (17B70) Eta-invariants, Chern-Simons invariants (58J28) Differential graded algebras and applications (associative algebraic aspects) (16E45) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras (17-02) Chain complexes (category-theoretic aspects), dg categories (18G35) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Currents in global analysis (58A25)

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