Three-family particle physics models from global F-theory compactifications

  • Mirjam Cvetič
  • Denis Klevers
  • Damián Kaloni Mayorga Peña
  • Paul-Konstantin Oehlmann
  • Jonas Reuter
Open Access
Regular Article - Theoretical Physics


We construct four-dimensional, globally consistent F-theory models with three chiral generations, whose gauge group and matter representations coincide with those of the Minimal Supersymmetric Standard Model, the Pati-Salam Model and the Trinification Model. These models result from compactification on toric hypersurface fibrations X with the choice of base \( {\mathrm{\mathbb{P}}}^3 \). We observe that the F-theory conditions on the G4-flux restrict the number of families to be at least three. We comment on the phenomenology of the models, and for Pati-Salam and Trinification models discuss the Higgsing to the Standard Model. A central point of this work is the construction of globally consistent G4-flux. For this purpose we compute the vertical cohomology H V (2,2) (X) in each case and solve the conditions imposed by matching the M- and F-theoretical 3D Chern-Simons terms. We explicitly check that the expressions found for the G4-flux allow for a cancellation of D3-brane tadpoles. We also use the integrality of 3D Chern-Simons terms to ensure that our G4-flux solutions are adequately quantized.


Beyond Standard Model F-Theory Supersymmetric Standard Model GUT 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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© The Author(s) 2015

Authors and Affiliations

  • Mirjam Cvetič
    • 1
  • Denis Klevers
    • 2
  • Damián Kaloni Mayorga Peña
    • 3
  • Paul-Konstantin Oehlmann
    • 4
  • Jonas Reuter
    • 4
  1. 1.Department of Physics and AstronomyUniversity of PennsylvaniaPhiladelphiaUnited States
  2. 2.Theory Group, Physics DepartmentCERNGeneva 23Switzerland
  3. 3.The Abdus Salam International Centre for Theoretical PhysicsTriesteItaly
  4. 4.Bethe Center for Theoretical PhysicsPhysikalisches Institut der Universität BonnBonnGermany

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