Beltrami-Courant Differentials and $G_{\infty }$-algebras

Abstract

Using the symmetry properties of two-dmensional sigma models, we introduce a notion of the Beltrami-Courant differential, so that there is a natural homotopy Gerstenhaber algebra related to it. We conjecture that the generalized Maurer-Cartan equation for the corresponding $L_{\infty }$ subalgebra gives solutions to the Einstein equations.

22 pages, v4: minor revisions, to appear in Adv. Theor. Math. Phys

References in corpus (1)

• BRST, Generalized Maurer-Cartan Equations and CFT

Cited by in corpus (3)

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