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Equivalence Proof of Pure Spinor and Ramond-Neveu-Schwarz Superstring Amplitudes

High Energy Physics - Theory 2025-04-23 v2

Abstract

A new manifestly spacetime-supersymmetric prescription for superstring amplitude computations is given using the pure spinor formalism which does not contain subtleties from poles in the pure spinor ghosts. This super-Poincare covariant prescription is related by a U(5)-covariant field redefinition to the Ramond-Neveu-Schwarz amplitude prescription where the pure spinor parameterizes the choice of SO(10)/U(5). For F-term scattering amplitudes which preserve a subset of the spacetime supersymmetries, the new pure spinor amplitude prescription reduces to the previous pure spinor prescription.

Keywords

Cite

@article{arxiv.2411.19778,
  title  = {Equivalence Proof of Pure Spinor and Ramond-Neveu-Schwarz Superstring Amplitudes},
  author = {Nathan Berkovits},
  journal= {arXiv preprint arXiv:2411.19778},
  year   = {2025}
}

Comments

8 pages harvmac tex. Fixed typos and added a few clarifying comments