Title: Homotopy Gerstenhaber algebra as a hidden structure within Einstein equations

2016.06.21 |

Date | Thu 30 Jun |

Time | 15:15 — 16:15 |

Location | 1532-122 (Aud. G2) |

**Abstract**

We obtain Einstein equations with matter fields as generalized Maurer-Cartan equations for L-infinity algebra, which is a subalgebra of G-infinity algebra. This G-infinity algebra arises as quasiclassical limit from homotopy Gerstenhaber algebra associated to a certain vertex algebra. Its chiral version turns out to be a natural object associated to the Courant algebroid, which generalizes L-infinity algebra considered by Roytenberg and Weinstein.

We obtain Einstein equations with matter fields as generalized Maurer-Cartan equations for L-infinity algebra, which is a subalgebra of G-infinity algebra.

This G-infinity algebra arises as quasiclassical limit from homotopy Gerstenhaber algebra associated to a certain vertex algebra. Its chiral version turns out to be a natural object associated to the Courant algebroid, which generalizes L-infinity algebra considered by Roytenberg and Weinstein.