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Three-family supersymmetric Pati-Salam models from intersecting D6-branes on rigid cycles

Adeel Mansha1, Mudassar Sabir2,*, Tianjun Li3,4,5,†, and Luyang Wang1,‡

  • *Contact author: mudassar.sabir@uestc.edu.cn
  • †Contact author: tli@itp.ac.cn
  • ‡Contact author: wangly@szu.edu.cn
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Phys. Rev. D 112, 055006 – Published 4 September, 2025

DOI: https://doi.org/10.1103/5m95-q581

Abstract

Intersecting D6-brane models without discrete torsion typically suffer from unstabilized open-string moduli arising from D-brane positions and Wilson lines. These moduli generate additional massless adjoint fields, obstructing the realization of negative β functions necessary for asymptotic freedom unless they are decoupled around the string scale. A viable solution involves utilizing rigid cycles, which eliminate these unwanted adjoint fields. In this work, we for the first time present a class of consistent three-family supersymmetric Pati-Salam models from rigid intersecting D6-branes on the factorizable T6/(Z2×Z2′) orientifold with discrete torsion. These models satisfy all the known consistency conditions, including N=1 supersymmetry, K-theory constraints, tadpole cancellation, and recent swampland bounds on the maximal gauge group rank. We provide detailed particle spectra, analyze their phenomenological implications, and discuss the decoupling of exotic states through strong dynamics in the hidden sector.

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Information

Phys. Rev. D 112, 055006– Published 4 September, 2025
  • Received 19 June 2025
  • Accepted 13 August 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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