Three-Family Particle Physics Models from Global F-theory Compactifications - INSPIRE

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Three-Family Particle Physics Models from Global F-theory Compactifications

Mirjam Cvetic
(
- Pennsylvania U.
)
,
Denis Klevers
(
- CERN
)
,
Damián Kaloni Mayorga Peña
(
- ICTP, Trieste
)
,
Paul-Konstantin Oehlmann
(
- Bonn U.
)
,
Jonas Reuter
(
- Bonn U.
)

Mar 6, 2015

45 pages

Published in:

JHEP 08 (2015) 087

Published: Aug 17, 2015

e-Print:

1503.02068 [hep-th]

DOI:

10.1007/JHEP08(2015)087

Report number:

CERN-PH-TH-2015-037,
UPR-1271-T,
Bonn-TH-2015-02

View in:

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Abstract: (Springer)

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 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. We explicitly check that the expressions found for the G

_{4}

-flux allow for a cancellation 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.

Note:

45 pages, 6 figures, 13 tables

Beyond Standard Model
F-Theory
Supersymmetric Standard Model
GUT
F-theory: compactification
compactification: torus
fibre bundle: torus
family: 3
cohomology
tadpole

References(111)

Figures(6)

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