Homotopy Lie Superalgebra in Yang-Mills Theory

TL;DR

This paper reformulates Yang-Mills equations using homotopy Lie superalgebra, revealing a new algebraic structure underlying gauge theories.

Contribution

It introduces a novel homotopy Lie superalgebra framework for Yang-Mills equations, connecting gauge theory with advanced algebraic structures.

Findings

Yang-Mills equations expressed as Maurer-Cartan equations

Algebraic operations satisfy homotopy Lie superalgebra relations

Provides new insights into the algebraic structure of gauge theories

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.