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.
