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

Cvetic, Mirjam; Klevers, Denis; Pena, Damian Kaloni Mayorga; Oehlmann, Paul-Konstantin; Reuter, Jonas

doi:10.1007/JHEP08(2015)087

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

Journal Article · Mon Aug 17 00:00:00 EDT 2015 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP08(2015)087· OSTI ID:1454512

Cvetic, Mirjam ^[1]; Klevers, Denis ^[2]; Pena, Damian Kaloni Mayorga ^[3]; Oehlmann, Paul-Konstantin ^[4]; Reuter, Jonas ^[4]

Univ. of Pennsylvania, Philadelphia, PA (United States). Department of Physics and Astronomy
European Organization for Nuclear Research (CERN), Geneva (Switzerland). Physics Dept.
Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)
Univ. of Bonn (Germany). Bethe Center for Theoretical Physics, Physikalisches Inst.

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 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 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.

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Research Organization:: Univ. of Pennsylvania, Philadelphia, PA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0007901

OSTI ID:: 1454512

Journal Information:: Journal of High Energy Physics (Online), Vol. 2015, Issue 8; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 37 works

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Flavor mixings in flux compactifications Buchmuller, Wilfried; Schweizer, Julian Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2017-01838	text	January 2017
Flavour mixings in flux compactifications Buchmuller, Wilfried; Schweizer, Julian Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2017-00826	text	January 2017
General U(1)xU(1) F-theory Compactifications and Beyond: Geometry of unHiggsings and novel Matter Structure Cvetic, Mirjam; Klevers, Denis; Piragua, Hernan arXiv https://doi.org/10.48550/arxiv.1507.05954	text	January 2015
Gauge Backgrounds and Zero-Mode Counting in F-Theory Bies, Martin; Mayrhofer, Christoph; Weigand, Timo arXiv https://doi.org/10.48550/arxiv.1706.04616	text	January 2017
The Global Gauge Group Structure of F-theory Compactification with U(1)s Cvetic, Mirjam; Lin, Ling arXiv https://doi.org/10.48550/arxiv.1706.08521	text	January 2017
The Toric SO(10) F-Theory Landscape Buchmuller, Wilfried; Dierigl, Markus; Oehlmann, Paul-Konstantin arXiv https://doi.org/10.48550/arxiv.1709.06609	text	January 2017

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