Sigma-models and homotopy algebras

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...

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Bibliographic Details
Published in:Journal of physics. Conference series 2015-04, Vol.597 (1), p.12074
Main Author: Zeitlin, Anton M
Format: Article
Language:English
Subjects:
Einstein equations
Field theory
Mathematical models
Physics
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Summary: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.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/597/1/012074