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Related papers: F-theory Compactifications for Supersymmetric GUTs

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We present compact three-generation F-theory GUT models meeting in particular the constraints of D3-tadpole cancellation and D-term supersymmetry. To this end we explicitly construct elliptically fibered Calabi-Yau fourfolds as complete…

High Energy Physics - Theory · Physics 2014-11-20 Thomas W. Grimm , Sven Krause , Timo Weigand

An algorithm to systematically construct all Calabi-Yau elliptic fibrations realized as hypersurfaces in a toric ambient space for a given base and gauge group is described. This general method is applied to the particular question of…

High Energy Physics - Theory · Physics 2015-06-16 Volker Braun , Thomas W. Grimm , Jan Keitel

The purpose of this note is to extend the results obtained in [arXiv:1303.6970] in two ways. First, the six-dimensional F-theory compactifications with U(1) x U(1) gauge symmetry on elliptic Calabi-Yau threefolds, constructed as a…

High Energy Physics - Theory · Physics 2015-06-16 Mirjam Cvetic , Denis Klevers , Hernan Piragua

We systematically construct a large number of compact Calabi-Yau fourfolds which are suitable for F-theory model building. These elliptically fibered Calabi-Yaus are complete intersections of two hypersurfaces in a six dimensional ambient…

High Energy Physics - Theory · Physics 2011-04-05 Johanna Knapp , Maximilian Kreuzer , Christoph Mayrhofer , Nils-Ole Walliser

We consider F-theory and M-theory compactifications on singular Calabi-Yau fourfolds with an SU(5) singularity. On the M-theory side this realizes three-dimensional N=2 supersymmetric gauge theories with matter, and compactification on a…

High Energy Physics - Theory · Physics 2015-06-15 Hirotaka Hayashi , Craig Lawrie , Sakura Schafer-Nameki

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…

High Energy Physics - Theory · Physics 2010-01-21 Ralph Blumenhagen , Thomas W. Grimm , Benjamin Jurke , Timo Weigand

We study F-theory compactifications with up to two Abelian gauge group factors that are based on elliptically fibered Calabi-Yau 4-folds describable as generic hypersurfaces. Special emphasis is put on elliptic fibrations based on generic…

High Energy Physics - Theory · Physics 2015-06-16 Jan Borchmann , Christoph Mayrhofer , Eran Palti , Timo Weigand

We investigate gauge theories and matter contents in F-theory compactifications on families of genus-one fibered Calabi-Yau 4-folds lacking a global section. To construct families of genus-one fibered Calabi-Yau 4-folds that lack a global…

High Energy Physics - Theory · Physics 2019-05-07 Yusuke Kimura

We construct semi-local and global realizations of SU(5) GUTs in F-theory that utilize a U(1)_PQ symmetry to protect against dimension four proton decay. Symmetries of this type, which assign charges to H_u and H_d that forbid a tree level…

High Energy Physics - Theory · Physics 2010-05-12 Joseph Marsano , Natalia Saulina , Sakura Schafer-Nameki

We consider an SO(10) GUT model from F-theory compactified on an elliptically fibered Calabi-Yau with a D5 singularity. To obtain the matter curves and the Yukawa couplings, we use a global description to resolve the singularity. We…

High Energy Physics - Theory · Physics 2015-06-05 Radu Tatar , William Walters

We realize higher-form symmetries in F-theory compactifications on non-compact elliptically fibered Calabi-Yau manifolds. Central to this endeavour is the topology of the boundary of the non-compact elliptic fibration, as well as the…

High Energy Physics - Theory · Physics 2022-08-24 Max Hubner , David R. Morrison , Sakura Schafer-Nameki , Yi-Nan Wang

We investigate gauge theories and matter fields in F-theory compactifications on genus-one fibered Calabi-Yau 4-folds without a global section. In this study, genus-one fibered Calabi-Yau 4-folds are built as direct products of a genus-one…

High Energy Physics - Theory · Physics 2018-03-30 Yusuke Kimura

We analyze general F-theory compactifications with U(1) x U(1) x U(1) Abelian gauge symmetry by constructing the general elliptically fibered Calabi-Yau manifolds with a rank three Mordell-Weil group of rational sections. The general…

High Energy Physics - Theory · Physics 2015-06-17 Mirjam Cvetic , Denis Klevers , Hernan Piragua , Peng Song

We systematically analyse globally consistent SU(5) GUT models on intersecting D7-branes in genuine Calabi-Yau orientifolds with O3- and O7-planes. Beyond the well-known tadpole and K-theory cancellation conditions there exist a number of…

High Energy Physics - Theory · Physics 2009-09-29 Ralph Blumenhagen , Volker Braun , Thomas W. Grimm , Timo Weigand

We develop geometric techniques to determine the spectrum and the chiral indices of matter multiplets for four-dimensional F-theory compactifications on elliptic Calabi-Yau fourfolds with rank two Mordell-Weil group. The general elliptic…

High Energy Physics - Theory · Physics 2015-06-16 Mirjam Cvetič , Antonella Grassi , Denis Klevers , Hernan Piragua

We study elliptic fibrations for F-theory compactifications realizing 4d and 6d supersymmetric gauge theories with abelian gauge factors. In the fibration these U(1) symmetries are realized in terms of additional rational sections. We…

High Energy Physics - Theory · Physics 2018-11-27 Craig Lawrie , Sakura Schafer-Nameki , Jin-Mann Wong

F-theory compactified on singular, elliptically fibered Calabi-Yau five-folds gives rise to two-dimensional gauge theories preserving N=(0,2) supersymmetry. In this paper we initiate the study of such compactifications and determine the…

High Energy Physics - Theory · Physics 2017-01-11 Sakura Schafer-Nameki , Timo Weigand

We systematically analyze a broad class of dual heterotic and F-theory models that give four-dimensional supergravity theories, and compare the geometric constraints on the two sides of the duality. Specifically, we give a complete…

High Energy Physics - Theory · Physics 2015-06-19 Lara B. Anderson , Washington Taylor

We investigate F-theory on an elliptic Calabi-Yau 4-fold without a section to the fibration. To construct an elliptic Calabi-Yau 4-fold without a section, we introduce families of elliptic K3 surfaces which do not admit a section. A product…

High Energy Physics - Theory · Physics 2016-03-10 Yusuke Kimura

We analyze constraints for embedding local SU(5) F-theory GUTs into consistent compactifications and construct explicit three-generation models based on the geometry of arXiv:0904.3932. The key tool for studying constraints in this problem…

High Energy Physics - Theory · Physics 2009-08-21 Joseph Marsano , Natalia Saulina , Sakura Schafer-Nameki
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