2008/12/31 by Anton M. Zeitlin · 1 citation
Physics and Astronomy · Mathematics · #hep-th #math-ph #math.MP #math.QA
paper · pdf · doi:10.1007/jhep03(2010)056
published as JHEP 1003:056,2010 · LaTeX2e, 33 pages, minor revisions, typos corrected, published version
arxiv created 2010/04/15 · arxiv updated 2011/06/02
We consider various homotopy algebras related to Yang-Mills theory and two-dimensional conformal field theory (CFT). Our main objects of study are Yang-Mills L∞ and C∞ algebras and their relation to the certain algebraic structures of Lian-Zuckerman type in CFT. We also consider several examples of algebras related to gauge theory, involving first order formulations and gauge theories with matter fields.