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<p>We construct the unintegrated vertex operator at the first mass level of the open superstring from the OPE of massless vertices. Using BRST cohomology manipulations, the tree amplitude of two massless and one massive state is rewritten in terms of the pure spinor superspace kinematic expression of the massless four-point amplitude at the <i>α</i><sup><i>′</i> 2</sup> level. A generalization relating the partial <i>n</i>-point tree amplitudes with one massive state and linear combinations of the <i>α</i><sup><i>′</i> 2</sup> corrections to <i>n</i>+1 massless amplitudes is found and shown to be consistent with unitarity.</p>

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Massless representation of massive superfields and tree amplitudes with the pure spinor formalism

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年2月28日

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  • Sitender Pratap Kashyap,
  • Carlos R. Mafra,
  • Mritunjay Verma,
  • Luis Ypanaqué

摘要

We construct the unintegrated vertex operator at the first mass level of the open superstring from the OPE of massless vertices. Using BRST cohomology manipulations, the tree amplitude of two massless and one massive state is rewritten in terms of the pure spinor superspace kinematic expression of the massless four-point amplitude at the α′ 2 level. A generalization relating the partial n-point tree amplitudes with one massive state and linear combinations of the α′ 2 corrections to n+1 massless amplitudes is found and shown to be consistent with unitarity.