Homotopy Lie Superalgebra in Yang-Mills Theory

Abstract

The Yang-Mills equations are formulated in the form of generalized Maurer-Cartan equations, such that the corresponding algebraic operations are shown to satisfy the defining relations of homotopy Lie superalgebra.

LaTeX2e, 10 pages

References in corpus (2)

• BRST, Generalized Maurer-Cartan Equations and CFT
• On the No-ghost Theorem in String Theory

Cited by in corpus (20)

• $L_{\infty }$ 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
• $L_{\infty }$-algebras and the perturbiner expansion
• Loop Amplitudes and Quantum Homotopy Algebras
• Formal Maurer-Cartan Structures: from CFT to Classical Field Equations
• $L_{\infty }$-Algebras, the BV Formalism, and Classical Fields
• BV Yang-Mills as a Homotopy Chern-Simons via SFT
• SFT-inspired Algebraic Structures in Gauge Theories
• $L_{\infty }$ algebras and Tensor Hierarchies in Exceptional Field Theory and Gauged Supergravity
• $L_{\infty }$-Algebra Models and Higher Chern-Simons Theories
• Scattering amplitudes in YM and GR as minimal model brackets and their recursive characterization
• Quasiclassical Lian-Zuckerman Homotopy Algebras, Courant Algebroids and Gauge Theory
• Homotopy Algebras of Differential (Super)forms in Three and Four Dimensions
• Beta-gamma systems and the deformations of the BRST operator
• On the L${}_{\infty }$ structure of Poisson gauge theory
• Covariant phase space and $L_{\infty }$ algebras
• Non-commutative gauge symmetry from strong homotopy algebras