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

Abstract

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 $$\mathbb P^{3}$$. We observe that the F-theory conditions on the G 4-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 G 4-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. Finally, we explicitly check that the expressions found for the G 4-flux allow for a cancelation of D3-brane tadpoles. We also use the integrality of 3D Chern-Simons terms to ensure that our G 4-flux solutions are adequately quantized.

Authors:
 [1];  [2];  [3];  [4];  [4]
  1. Univ. of Pennsylvania, Philadelphia, PA (United States). Department of Physics and Astronomy
  2. European Organization for Nuclear Research (CERN), Geneva (Switzerland). Physics Dept.
  3. Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)
  4. Univ. of Bonn (Germany). Bethe Center for Theoretical Physics, Physikalisches Inst.
Publication Date:
Research Org.:
Univ. of Pennsylvania, Philadelphia, PA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1454512
Grant/Contract Number:  
SC0007901
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 8; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Cvetic, Mirjam, Klevers, Denis, Pena, Damian Kaloni Mayorga, Oehlmann, Paul-Konstantin, and Reuter, Jonas. Three-family particle physics models from global F-theory compactifications. United States: N. p., 2015. Web. doi:10.1007/JHEP08(2015)087.
Cvetic, Mirjam, Klevers, Denis, Pena, Damian Kaloni Mayorga, Oehlmann, Paul-Konstantin, & Reuter, Jonas. Three-family particle physics models from global F-theory compactifications. United States. doi:10.1007/JHEP08(2015)087.
Cvetic, Mirjam, Klevers, Denis, Pena, Damian Kaloni Mayorga, Oehlmann, Paul-Konstantin, and Reuter, Jonas. Mon . "Three-family particle physics models from global F-theory compactifications". United States. doi:10.1007/JHEP08(2015)087. https://www.osti.gov/servlets/purl/1454512.
@article{osti_1454512,
title = {Three-family particle physics models from global F-theory compactifications},
author = {Cvetic, Mirjam and Klevers, Denis and Pena, Damian Kaloni Mayorga and Oehlmann, Paul-Konstantin and Reuter, Jonas},
abstractNote = {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 $\mathbb P^{3}$. 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 HV(2,2)(X) in each case and solve the conditions imposed by matching the M- and F-theoretical 3D Chern-Simons terms. Finally, we explicitly check that the expressions found for the G4-flux allow for a cancelation of D3-brane tadpoles. We also use the integrality of 3D Chern-Simons terms to ensure that our G4-flux solutions are adequately quantized.},
doi = {10.1007/JHEP08(2015)087},
journal = {Journal of High Energy Physics (Online)},
number = 8,
volume = 2015,
place = {United States},
year = {2015},
month = {8}
}

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