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<p>We continue the program of using homotopy algebras to obtain off-shell, local and gauge redundant derivations of the double copy relations between gauge theory and gravity. We apply it to <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathcal{N}=1\)</EquationSource> </InlineEquation> super-Yang-Mills theory in <i>D</i> = 10 in order to obtain type IIA or type IIB supergravity, at least to cubic order in fields. Furthermore, we show how the super-Lie algebra of global supersymmetries, acting on the homotopy algebra of <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\mathcal{N}=1\)</EquationSource> </InlineEquation> super-Yang-Mills theory, double copies to the maximal supersymmetry of supergravity.</p>

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The double copy of maximal supersymmetry in D = 10

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年1月16日

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  • Roberto Bonezzi,
  • Giuseppe Casale,
  • Olaf Hohm

摘要

We continue the program of using homotopy algebras to obtain off-shell, local and gauge redundant derivations of the double copy relations between gauge theory and gravity. We apply it to \(\mathcal{N}=1\) super-Yang-Mills theory in D = 10 in order to obtain type IIA or type IIB supergravity, at least to cubic order in fields. Furthermore, we show how the super-Lie algebra of global supersymmetries, acting on the homotopy algebra of \(\mathcal{N}=1\) super-Yang-Mills theory, double copies to the maximal supersymmetry of supergravity.