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SYM theory hard scattering from the dilaton-dilatino superstring scattering amplitude

Lucas Martin*, Martin Parlanti†, and Martin Schvellinger‡

  • Instituto de Física La Plata-UNLP-CONICET, Boulevard 113 e 63 y 64, (1900) La Plata, Buenos Aires, Argentina and Departamento de Física, Facultad de Ciencias Exactas, Universidad Nacional de La Plata. Calle 49 y 115, C.C. 67, (1900) La Plata, Buenos Aires, Argentina

  • *Contact author: lucasmartinar@iflp.unlp.edu.ar
  • †Contact author: martin.parlanti@fisica.unlp.edu.ar
  • ‡Contact author: martin@fisica.unlp.edu.ar
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Phys. Rev. D 112, 086003 – Published 8 October, 2025

DOI: https://doi.org/10.1103/8qc2-5cqk

Abstract

We calculate the hard-scattering amplitude of bosonic states created by Ok(8) operators and fermionic states created by Ok′(6) operators of N=4 SYM theory from the dilaton-dilatino closed-string scattering amplitude in type IIB superstring theory, in the framework of the gauge/string theory duality considering a hard-wall model. These are single-trace operators of the SU(Nc) N=4 SYM theory in four dimensions. We investigate the high-energy scaling at fixed angle and also in the Regge limit. We derive the leading and subleading terms contributing to the scattering cross section. This dual calculation of the hard-scattering amplitude is particularly interesting since it involves the scattering of two different types of external states. We calculate explicitly some angular integrals for two scalar spherical harmonics and two spinor spherical harmonics on the five-sphere, leading to selection rules.

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Fermions hard scattering from superstrings

Lucas Martin, Martin Parlanti, and Martin Schvellinger
Phys. Rev. D 111, 066004 (2025)

Article Text

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Outline

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Phys. Rev. D 112, 086003– Published 8 October, 2025
  • Received 25 June 2025
  • Accepted 2 September 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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