HOMOTOPY RELATIONS FOR TOPOLOGICAL VOA

DOI10.1142/S0129167X11007550zbMath1273.17028arXiv1104.5038OpenAlexW2167688372MaRDI QIDQ3119003

Anton M. Zeitlin

Publication date: 7 March 2012

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.5038

zbMATH Keywords

conformal field theoryvertex operator algebrasStasheff polytopeshomotopy 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) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Cites Work

• On first-order formalism in string theory
• Quasiclassical Lian-Zuckerman homotopy algebras, Courant algebroids and gauge theory
• BRST, generalized Maurer-Cartan equations and CFT
• The permutoassociahedron, Mac Lane's coherence theorem and asymptotic zones for the KZ equation
• New perspectives on the BRST-algebraic structure of string theory
• Perturbed beta-gamma systems and complex geometry
• String field theory-inspired algebraic structures in gauge theories
• BATALIN–VILKOVISKY YANG–MILLS THEORY AS A HOMOTOPY CHERN–SIMONS THEORY VIA STRING FIELD THEORY
• Homotopy Associativity of H-Spaces. I

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