English

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

High Energy Physics - Theory 2025-03-06 v2

Abstract

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 α2{\alpha^\prime}^2 level. A generalization relating the partial nn-point tree amplitudes with one massive state and linear combinations of the α2{\alpha^\prime}^2 corrections to n+1 massless amplitudes is found and shown to be consistent with unitarity.

Keywords

Cite

@article{arxiv.2407.02436,
  title  = {Massless representation of massive superfields and tree amplitudes with the pure spinor formalism},
  author = {Sitender Pratap Kashyap and Carlos R. Mafra and Mritunjay Verma and Luis Ypanaqué},
  journal= {arXiv preprint arXiv:2407.02436},
  year   = {2025}
}

Comments

36pp, v2: published version