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The BV double of a Courant algebroid

Quantum Algebra 2024-10-29 v1 High Energy Physics - Theory Mathematical Physics Differential Geometry math.MP

Abstract

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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Cite

@article{arxiv.2410.20510,
  title  = {The BV double of a Courant algebroid},
  author = {Anton M. Zeitlin},
  journal= {arXiv preprint arXiv:2410.20510},
  year   = {2024}
}

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49 pages