BV Yang-Mills as a Homotopy Chern-Simons via SFT

Abstract

We show explicitly how BV Yang-Mills action emerges as a homotopy generalization of Chern-Simons theory from the algebraic constructions arising from String Field Theory.

LaTeX2e, 22 pages, minor revisions, typos corrected, references added, Int. J. Mod. Physics A, published version

References in corpus (9)

• Closed String Field Theory: Quantum Action and the BV Master Equation
• Introduction to string field theory
• Geometry of Batalin-Vilkovisky quantization
• On First Order Formalism in String Theory
• Homotopy Lie Superalgebra in Yang-Mills Theory
• Formal Maurer-Cartan Structures: from CFT to Classical Field Equations
• Perturbed Beta-Gamma Systems and Complex Geometry
• BRST, Generalized Maurer-Cartan Equations and CFT
• On the No-ghost Theorem in String Theory

Cited by in corpus (17)

• $L_{\infty }$-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
• $L_{\infty }$-Algebras, the BV Formalism, and Classical Fields
• Braided Symmetries in Noncommutative Field Theory
• SFT-inspired Algebraic Structures in Gauge Theories
• $L_{\infty }$-Algebra Models and Higher Chern-Simons Theories
• 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
• Beta-gamma systems and the deformations of the BRST operator
• Homotopy Relations for Topological VOA
• The $L_{\infty }$-algebra of the S-matrix
• Full S-matrices and Witten diagrams with (relative) L-infinity algebras