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The BV double of a Courant algebroid

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arxiv 2410.20510 v1 pith:IUTPM7NO submitted 2024-10-27 math.QA hep-thmath-phmath.DGmath.MP

Anton M. Zeitlin This is my paper · ORCID
classification math.QAhep-thmath-phmath.DGmath.MP
keywords doublealgebroidcouranthomotopyalgebraalgebrascalabi-yaucertain
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We characterize a Courant algebroid with a Calabi-Yau structure as a homotopy BV algebra with certain properties. We explain how it fits into recent double copy constructions relating Yang-Mills homotopy algebras to the ones of Double Field Theory and Gravity.

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  1. From noncommutative Yang-Mills to noncommutative gravity through a classical double copy map

    hep-th 2025-02 conditional novelty 6.0 of 10

    The classical double copy of noncommutative Yang-Mills yields a theta-squared-corrected cubic double field theory action whose pure gravity limit is Einstein-Hilbert plus Riemann-cubed terms in D=4 transverse-traceless gauge.

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