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<p>We constructed all possible kinematically allowed three-point interactions of two massless Dirac spinors with massive higher-spin bosons. In any <i>D</i> spacetime, the interactions have been constructed using the projections of the higher spin irreducible representations of Spin(<i>D</i> − 1) over the product of two irreducible spinor representations of Spin(<i>D</i> − 2). Based on this analysis, we have further classified the space of theories involving two massless Dirac spinors and a single (or multiple) massive higher spin(s) based on the discrete symmetries: <i>C</i>, <i>R</i>, and <i>T</i>. We found that in any <i>D</i> = 2<i>m</i> + 1/2<i>m</i>, the interacting theories of a single massive higher spin have a “<i>m</i>” mod 2 (or <i>D</i> mod 4) classification.</p>

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Three point interaction of Dirac fermions with higher spin particles and discrete symmetries

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月7日

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  • Kushal Chakraborty,
  • Aakash Kumar,
  • Arnab Rudra,
  • Amey Yeole

摘要

We constructed all possible kinematically allowed three-point interactions of two massless Dirac spinors with massive higher-spin bosons. In any D spacetime, the interactions have been constructed using the projections of the higher spin irreducible representations of Spin(D − 1) over the product of two irreducible spinor representations of Spin(D − 2). Based on this analysis, we have further classified the space of theories involving two massless Dirac spinors and a single (or multiple) massive higher spin(s) based on the discrete symmetries: C, R, and T. We found that in any D = 2m + 1/2m, the interacting theories of a single massive higher spin have a “m” mod 2 (or D mod 4) classification.