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<p>We study the supersymmetric structure of the spin current in four dimensional <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26988_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N} \)</EquationSource> </InlineEquation> = 1 supersymmetric theories. By coupling the stress tensor multiplet to a vierbein multiplet we identify a spin current with the Hodge dual of the bottom component of the stress tensor multiplet in a wide range of theories. This implies that in holographic theories the Hodge dual of the <i>R</i> current may serve as a spin current, paving the way for holographic studies of theories with background torsion.</p>

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A supersymmetric spin current

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年8月18日

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  • Casey Cartwright,
  • Domingo Gallegos,
  • Umut Gürsoy,
  • Roi Klein,
  • Amos Yarom

摘要

We study the supersymmetric structure of the spin current in four dimensional N \( \mathcal{N} \) = 1 supersymmetric theories. By coupling the stress tensor multiplet to a vierbein multiplet we identify a spin current with the Hodge dual of the bottom component of the stress tensor multiplet in a wide range of theories. This implies that in holographic theories the Hodge dual of the R current may serve as a spin current, paving the way for holographic studies of theories with background torsion.