String field theory-inspired algebraic structures in gauge theories

DOI10.1063/1.3142964zbMath1216.81131arXiv0711.3843OpenAlexW3105079248MaRDI QIDQ3069117

Anton M. Zeitlin

Publication date: 24 January 2011

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.3843

zbMATH Keywords

Lie algebrasstring theorygauge field theory

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Quantization in field theory; cohomological methods (81T70) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items (7)

Homotopy algebras of differential (super)forms in three and four dimensions ⋮ Worldline quantization of field theory, effective actions and \(L_{\infty}\) structure ⋮ Conformal field theory and algebraic structure of gauge theory ⋮ \(L_{\infty}\) algebras and tensor hierarchies in exceptional field theory and gauged supergravity ⋮ Quasiclassical Lian-Zuckerman homotopy algebras, Courant algebroids and gauge theory ⋮ The \(L_{\infty}\)-algebra of the S-matrix ⋮ HOMOTOPY RELATIONS FOR TOPOLOGICAL VOA

Cites Work

• Formal Maurer-Cartan structures: from CFT to classical field equations
• On first-order formalism in string theory
• BRST, generalized Maurer-Cartan equations and CFT
• Quantum field theory and the Jones polynomial
• Geometry of Batalin-Vilkovisky quantization
• String theory and noncommutative geometry
• Perturbed beta-gamma systems and complex geometry
• BATALIN–VILKOVISKY YANG–MILLS THEORY AS A HOMOTOPY CHERN–SIMONS THEORY VIA STRING FIELD THEORY
• On the No-Ghost Theorem in String Theory
• Constrained Poisson algebras and strong homotopy representations

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