Sigma-models and Homotopy Algebras
Mathematical Physics
2015-09-22 v1 High Energy Physics - Theory
Differential Geometry
math.MP
Quantum Algebra
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.
Cite
@article{arxiv.1509.06067,
title = {Sigma-models and Homotopy Algebras},
author = {Anton M. Zeitlin},
journal= {arXiv preprint arXiv:1509.06067},
year = {2015}
}
Comments
11 pages, published in the Proceedings of 30th International Colloquium on Group Theoretical Methods in Physics, 14-18 July 2014, Ghent, Belgium