Global F-theory GUTs

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We construct global F-theory GUT models on del Pezzo surfaces in compact Calabi-Yau fourfolds realized as complete intersections of two hypersurface constraints. The intersections of the GUT brane and the flavour branes as well as the gauge flux are described by the spectral cover construction. We consider a split S[U(4) x U(1){sub X}] spectral cover, which allows for the phenomenologically relevant Yukawa couplings and GUT breaking to the MSSM via hypercharge flux while preventing dimension-4 proton decay. General expressions for the massless spectrum, consistency conditions and a new method for the computation of curvature-induced tadpoles are presented. We also provide ... continued below

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59 pages

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Blumenhagen, Ralph; /Munich, Max Planck Inst.; Grimm, Thomas W.; U., /Bonn; Jurke, Benjamin; /Munich, Max Planck Inst. et al. August 26, 2010.

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We construct global F-theory GUT models on del Pezzo surfaces in compact Calabi-Yau fourfolds realized as complete intersections of two hypersurface constraints. The intersections of the GUT brane and the flavour branes as well as the gauge flux are described by the spectral cover construction. We consider a split S[U(4) x U(1){sub X}] spectral cover, which allows for the phenomenologically relevant Yukawa couplings and GUT breaking to the MSSM via hypercharge flux while preventing dimension-4 proton decay. General expressions for the massless spectrum, consistency conditions and a new method for the computation of curvature-induced tadpoles are presented. We also provide a geometric toolkit for further model searches in the framework of toric geometry. Finally, an explicit global model with three chiral generations and all required Yukawa couplings is defined on a Calabi-Yau fourfold which is fibered over the del Pezzo transition of the Fano threefold P{sup 4}.

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59 pages

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  • Journal Name: Nucl.Phys.B829:325-369,2010

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  • Report No.: SLAC-PUB-13751
  • Grant Number: AC02-76SF00515
  • DOI: 10.1016/j.nuclphysb.2009.12.013 | External Link
  • Office of Scientific & Technical Information Report Number: 992449
  • Archival Resource Key: ark:/67531/metadc1015010

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  • August 26, 2010

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  • Oct. 14, 2017, 8:36 a.m.

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  • Nov. 2, 2017, 8:12 p.m.

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Blumenhagen, Ralph; /Munich, Max Planck Inst.; Grimm, Thomas W.; U., /Bonn; Jurke, Benjamin; /Munich, Max Planck Inst. et al. Global F-theory GUTs, article, August 26, 2010; [California]. (digital.library.unt.edu/ark:/67531/metadc1015010/: accessed January 19, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.