- Letter
- Open Access
Three family supersymmetric Pati-Salam model from rigid intersecting D6-branes
Phys. Rev. D 111, L121904 – Published 30 June, 2025
DOI: https://doi.org/10.1103/xj5p-qhlv
Abstract
We construct, for the first time, a three family supersymmetric Pati-Salam model from rigid intersecting D6-branes on a factorizable orientifold with discrete torsion. The factorizable geometry allows for explicit control over rigid cycles and moduli stabilization. We can break the Pati-Salam gauge symmetry down to the Standard Model (SM) gauge symmetry via the supersymmetry preserving Higgs mechanism, generate the SM fermion masses and mixings, and break the supersymmetry via gaugino condensations in the hidden sector.
Physics Subject Headings (PhySH)
Article Text
References (43)
- M. Cvetic, G. Shiu, and A. M. Uranga, Three family supersymmetric standard-like models from intersecting brane worlds, Phys. Rev. Lett. 87, 201801 (2001).
- M. Cvetic, G. Shiu, and A. M. Uranga, Chiral four-dimensional supersymmetric type 2A orientifolds from intersecting D6 branes, Nucl. Phys. B615, 3 (2001).
- M. Cvetic, I. Papadimitriou, and G. Shiu, Supersymmetric three family SU(5) grand unified models from type IIA orientifolds with intersecting D6-branes, Nucl. Phys. B659, 193 (2003); B696, 298(E) (2004).
- M. Cvetic, T. Li, and T. Liu, Supersymmetric Pati-Salam models from intersecting D6-branes: A road to the standard model, Nucl. Phys. B698, 163 (2004).
- R. Blumenhagen, M. Cvetic, P. Langacker, and G. Shiu, Toward realistic intersecting D-brane models, Annu. Rev. Nucl. Part. Sci. 55, 71 (2005).
- C.-M. Chen, T. Li, and D. V. Nanopoulos, Standard-like model building on Type II orientifolds, Nucl. Phys. B732, 224 (2006).
- C.-M. Chen, T. Li, and D. V. Nanopoulos, Type IIA Pati-Salam flux vacua, Nucl. Phys. B740, 79 (2006).
- C.-M. Chen, T. Li, and D. V. Nanopoulos, Flipped and unflipped SU(5) as type IIA flux vacua, Nucl. Phys. B751, 260 (2006).
- C.-M. Chen, T. Li, V. E. Mayes, and D. V. Nanopoulos, A realistic world from intersecting D6-branes, Phys. Lett. B 665, 267 (2008).
- C.-M. Chen, T. Li, V. E. Mayes, and D. V. Nanopoulos, Towards realistic supersymmetric spectra and Yukawa textures from intersecting branes, Phys. Rev. D 77, 125023 (2008).
- W. He, T. Li, R. Sun, and L. Wu, The final model building for the supersymmetric Pati–Salam models from intersecting D6-branes, Eur. Phys. J. C 82, 710 (2022).
- W. He, T. Li, and R. Sun, The complete search for the supersymmetric Pati-Salam models from intersecting D6-branes, J. High Energy Phys. 08 (2022) 044.
- T. Li, R. Sun, and L. Wu, String-scale gauge coupling relations in the supersymmetric Pati-Salam models from intersecting D6-branes, J. High Energy Phys. 03 (2023) 210.
- M. Sabir, T. Li, A. Mansha, and X.-C. Wang, The supersymmetry breaking soft terms, and fermion masses and mixings in the supersymmetric Pati-Salam model from intersecting D6-branes, J. High Energy Phys. 04 (2022) 089.
- T. Li, A. Mansha, and R. Sun, Revisiting the supersymmetric Pati–Salam models from intersecting D6-branes, Eur. Phys. J. C 81, 82 (2021).
- T. Li, A. Mansha, R. Sun, L. Wu, and W. He, supersymmetric models, models, and models from intersecting D6-branes, Phys. Rev. D 104, 046018 (2021).
- A. Mansha, T. Li, M. Sabir, and L. Wu, Three-family supersymmetric Pati–Salam models with symplectic groups from intersecting D6-branes, Eur. Phys. J. C 84, 151 (2024).
- A. Mansha, T. Li, and L. Wu, The hidden sector variations in the supersymmetric three-family Pati–Salam models from intersecting D6-branes, Eur. Phys. J. C 83, 1067 (2023).
- M. Sabir, A. Mansha, T. Li, and Z.-W. Wang, Fermion masses and mixings in string theory with Dirac neutrinos, Phys. Rev. D 111, L071702 (2025).
- M. Sabir, A. Mansha, T. Li, and Z.-W. Wang, Fermion masses and mixings in the supersymmetric Pati-Salam landscape from Intersecting D6-Branes, J. High Energy Phys. 10 (2024) 252.
- M. Sabir, A. Mansha, T. Li, and Z.-W. Wang, Susy breaking soft terms in the supersymmetric Pati-Salam landscape from intersecting D6-branes, J. High Energy Phys. 01 (2025) 201.
- A. Mansha, T. Li, and M. Sabir, Revisiting the supersymmetric trinification models from intersecting D6-branes, Commun. Theor. Phys. 76, 095201 (2024).
- B. Assel, K. Christodoulides, A. E. Faraggi, C. Kounnas, and J. Rizos, Classification of heterotic Pati-Salam models, Nucl. Phys. B844, 365 (2011).
- A. E. Faraggi, V. G. Matyas, and B. Percival, Classification of nonsupersymmetric Pati-Salam heterotic string models, Phys. Rev. D 104, 046002 (2021).
- R. Blumenhagen, M. Cvetic, F. Marchesano, and G. Shiu, Chiral D-brane models with frozen open string moduli, J. High Energy Phys. 03 (2005) 050.
- S. Forste and I. Zavala, Oddness from rigidness, J. High Energy Phys. 07 (2008) 086.
- R. Blumenhagen, V. Braun, B. Kors, and D. Lust, Orientifolds of K3 and Calabi-Yau manifolds with intersecting D-branes, J. High Energy Phys. 07 (2002) 026.
- L. E. Ibanez and R. Richter, Stringy instantons and Yukawa couplings in MSSM-like orientifold models, J. High Energy Phys. 03 (2009) 090.
- R. Blumenhagen, M. Cvetic, and T. Weigand, Spacetime instanton corrections in 4D string vacua: The Seesaw mechanism for D-Brane models, Nucl. Phys. B771, 113 (2007).
- L. E. Ibanez and A. M. Uranga, Neutrino Majorana masses from string theory instanton effects, J. High Energy Phys. 03 (2007) 052.
- S. A. Abel and M. D. Goodsell, Realistic Yukawa couplings through instantons in intersecting brane worlds, J. High Energy Phys. 10 (2007) 034.
- R. Blumenhagen, M. Cvetic, D. Lust, R. Richter, and T. Weigand, Non-perturbative Yukawa couplings from string instantons, Phys. Rev. Lett. 100, 061602 (2008).
- S. Forste, C. Timirgaziu, and I. Zavala, Orientifold’s landscape: Non-factorisable six-tori, J. High Energy Phys. 10 (2007) 025.
- M. Cvetic and T. Weigand, A string theoretic model of gauge mediated supersymmetry beaking, arXiv:0807.3953.
- A. Mansha, M. Sabir, T. Li, and L. Wang, Three-family supersymmetric Pati-Salam models from intersecting D6-branes on rigid cycles, arXiv:2505.03664.
- A. Sen, Stable nonBPS bound states of BPS D-branes, J. High Energy Phys. 08 (1998) 010.
- D. Lust, P. Mayr, R. Richter, and S. Stieberger, Scattering of gauge, matter, and moduli fields from intersecting branes, Nucl. Phys. B696, 205 (2004).
- R. Blumenhagen and M. Schmidt-Sommerfeld, Gauge thresholds and Kaehler metrics for rigid intersecting D-brane models, J. High Energy Phys. 12 (2007) 072.
- G. Aldazabal, S. Franco, L. E. Ibanez, R. Rabadan, and A. M. Uranga, chiral string compactifications from intersecting branes, J. Math. Phys. (N.Y.) 42, 3103 (2001).
- D. Lust and S. Stieberger, Gauge threshold corrections in intersecting brane world models, Fortschr. Phys. 55, 427 (2007).
- D. M. Ghilencea and G. G. Ross, On gauge unification in type I / I-prime models, Phys. Lett. B 480, 355 (2000).
- L. E. Ibanez, F. Marchesano, and R. Rabadan, Getting just the standard model at intersecting branes, J. High Energy Phys. 11 (2001) 002.
- P. Anastasopoulos, M. Bianchi, E. Dudas, and E. Kiritsis, Anomalies, anomalous U(1)’s and generalized Chern-Simons terms, J. High Energy Phys. 11 (2006) 057.