Holomorphic Poisson Field Theories

zbMath1486.81148arXiv2008.02302MaRDI QIDQ5037511

Chris Elliott, Brian R. Williams

Publication date: 1 March 2022

Full work available at URL: https://arxiv.org/abs/2008.02302

zbMATH Keywords

quantum field theorysupergravityPoisson structuresanomaliesfactorization algebrasGelfand-Fuchs cohomology\(\mathbb{E}_n\)-algebras

Mathematics Subject Classification ID

Model quantum field theories (81T10) Supergravity (83E50) Hamilton's equations (70H05) Anomalies in quantum field theory (81T50) Infinite-dimensional Lie (super)algebras (17B65) Kaluza-Klein and other higher-dimensional theories (83E15) Poisson algebras (17B63) (infty)-operads and higher algebra (18N70)

Related Items (3)

Quantizing the non-linear graviton ⋮ Twisted eleven-dimensional supergravity ⋮ On the associativity of 1-loop corrections to the celestial operator product in gravity

Cites Work

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• Cohomology of Hamiltonian and related formal vector field Lie algebras
• Operads and motives in deformation quantization
• Renormalization for holomorphic field theories
• Higher Kac-Moody algebras and symmetries of holomorphic field theories
• Equivariant Batalin-Vilkovisky formalism
• Topological twists of supersymmetric algebras of observables
• Cohomology of the Lie algebra of Hamiltonian formal vector fields
• Factorization Algebras in Quantum Field Theory
• A geometric construction of the Witten genus, I
• Some Stable Results on the Cohomology of the Classical Infinite-Dimensional Lie Algebras
• Higher Topos Theory (AM-170)

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