Conformal Field Theory and Algebraic Structure of Gauge Theory

Details Conformal Field Theory and Algebraic Structure of Gauge Theory Conformal Field Theory and Algebraic Structure of Gauge Theory

2008-12-10

arxiv.org/abs/0812.1840v3

JHEP 1003:056,2010

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1007/JHEP03(2010)056

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 $L_{\infty}$ and $C_{\infty}$ 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.

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