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

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arxiv 1404.3069 v4 pith:YQG4QNC7 submitted 2014-04-11 math.QA hep-thmath-phmath.DGmath.MP

Anton M. Zeitlin This is my paper · ORCID
classification math.QAhep-thmath-phmath.DGmath.MP
keywords beltrami-courantinftyalgebraalgebrasconjecturecorrespondingdifferentialdifferentials
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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.

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  1. The Double Copy of Maximal Supersymmetry in $D=4$

    hep-th 2025-01 conditional novelty 7.0 of 10

    N=8 supergravity to cubic order is realized as the off-shell double copy of N=4 super Yang-Mills, with N=8 supersymmetry and SU(8) R-symmetry emerging from the two gauge factors.

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