Three-family particle physics models from global F-theory compactifications
| Autor: | Paul-Konstantin Oehlmann, Denis Klevers, Jonas Reuter, Mirjam Cvetič, Damian Kaloni Mayorga Pena |
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| Jazyk: | angličtina |
| Předmět: |
High Energy Physics - Theory
Pure mathematics Nuclear and High Energy Physics FOS: Physical sciences črne luknje 01 natural sciences supergravitacija teorija superstrun High Energy Physics - Phenomenology (hep-ph) Gauge group 0103 physical sciences string theory udc:530.122.3 010306 general physics dualnost superstrun Physics Compactification (physics) 010308 nuclear & particles physics High Energy Physics::Phenomenology Trinification black holes Cohomology F-theory High Energy Physics - Phenomenology conformal field models Hypersurface High Energy Physics - Theory (hep-th) string duality supergravity modeli konformnega polja Phenomenology (particle physics) Particle Physics - Theory Minimal Supersymmetric Standard Model |
| Zdroj: | The journal of high energy physics, vol. 2015, no. 8, pp. 1-45, 2015. Journal of High Energy Physics |
| ISSN: | 1029-8479 |
| DOI: | 10.1007/jhep08(2015)087 |
| Popis: | 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. 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. Comment: 45 pages, 6 figures, 13 tables |
| Databáze: | OpenAIRE |
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