Conformal Field Theory and algebraic structure of gauge theory

We consider various homotopy algebras related to Yang-Mills theory and twodimensional 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...

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Bibliographic Details
Published in:The journal of high energy physics 2010-03, Vol.2010 (3), Article 56
Main Author: Zeitlin, Anton M.
Format: Article
Language:English
Subjects:
Algebra
Classical and Quantum Gravitation
Elementary Particles
Field theory
Gauge theory
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
Yang-Mills theory
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Summary:We consider various homotopy algebras related to Yang-Mills theory and twodimensional 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP03(2010)056