SFT-inspired Algebraic Structures in Gauge Theories

Abstract

We consider gauge theories in a String Field Theory-inspired formalism. The constructed algebraic operations lead in particular to homotopy algebras of the related BV theories. We discuss invariant description of the gauge fixing procedure and special algebraic features of gauge theories coupled to matter fields.

LaTeX2e, 26 pages; minor revisions after referee's remarks, typos corrected, title changed, references added, J. Mathematical Physics, in press

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Cited by in corpus (15)

• $L_{\infty }$ Algebras and Field Theory
• $L_{\infty }$-Algebras of Classical Field Theories and the Batalin-Vilkovisky Formalism
• Double Copy from Homotopy Algebras
• Scattering Amplitude Recursion Relations in BV Quantisable Theories
• Conformal Field Theory and Algebraic Structure of Gauge Theory
• The $L_{\infty }$ structure of gauge theories with matter
• $L_{\infty }$ algebras and Tensor Hierarchies in Exceptional Field Theory and Gauged Supergravity
• Quasiclassical Lian-Zuckerman Homotopy Algebras, Courant Algebroids and Gauge Theory
• Homotopy Algebras of Differential (Super)forms in Three and Four Dimensions
• Perturbative Quantum Field Theory and Homotopy Algebras
• Field Theory Equivalences as Spans of $L_{\infty }$-algebras
• HS in flat spacetime. The effective action method
• Homotopy Relations for Topological VOA
• On higher order Leibniz identities in TCFT
• Extremal Black Holes from Homotopy Algebras