Sigma-models and Homotopy Algebras

Abstract

We review the relation between homotopy algebras of conformal field theory and geometric structures arising in sigma models. In particular we formulate conformal invariance conditions, which in the quasi-classical limit are Einstein equations with extra fields, as generalized Maurer-Cartan equations.

11 pages, published in the Proceedings of 30th International Colloquium on Group Theoretical Methods in Physics, 14-18 July 2014, Ghent, Belgium

References in corpus (8)

• Formal Maurer-Cartan Structures: from CFT to Classical Field Equations
• BRST, Generalized Maurer-Cartan Equations and CFT
• Perturbed Beta-Gamma Systems and Complex Geometry
• Homotopy Batalin-Vilkovisky algebras
• Quasiclassical Lian-Zuckerman Homotopy Algebras, Courant Algebroids and Gauge Theory
• Beta-gamma systems and the deformations of the BRST operator
• First Order String Theory and the Kodaira-Spencer Equations. I
• First Order String Theory and the Kodaira-Spencer Equations. II