Sigma-models and homotopy algebras

30th International Colloquium on Group Theoretical Methods in Physics

Zeitlin, Anton M.^1,2

Department of Mathematics, Columbia University, 2990 Broadway, New York

NY

10027, United States^1

IPME RAS, V.O. Bolshoj pr., 61, St-Petersburg

199178, Russia^2

关键词: Conformal field theories;    Conformal invariance;    Einstein equations;    Geometric structure;    Homotopies;    Quasiclassical limits;    Sigma model;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/597/1/012074/pdf
DOI  :  10.1088/1742-6596/597/1/012074

来源: IOP

【 摘 要 】

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.