English

Conformal Field Theory and Algebraic Structure of Gauge Theory

High Energy Physics - Theory 2011-06-02 v3 Mathematical Physics math.MP Quantum Algebra

Abstract

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 LL_{\infty} and CC_{\infty} 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.

Keywords

Cite

@article{arxiv.0812.1840,
  title  = {Conformal Field Theory and Algebraic Structure of Gauge Theory},
  author = {Anton M. Zeitlin},
  journal= {arXiv preprint arXiv:0812.1840},
  year   = {2011}
}

Comments

LaTeX2e, 33 pages, minor revisions, typos corrected, published version