New global F-theory GUTs with U(1) symmetries

被引:72
作者
Braun, Volker [1 ]
Grimm, Thomas W. [2 ]
Keitel, Jan [2 ]
机构
[1] Dublin Inst Adv Studies, Dublin 4, Ireland
[2] Max Planck Inst Phys & Astrophys, D-80805 Munich, Germany
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2013年 / 09期
关键词
F-Theory; Differential and Algebraic Geometry; Supersymmetric Effective Theories; M-Theory; FLUX;
D O I
10.1007/JHEP09(2013)154
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We construct global F-theory GUTs with SU(5) x U(1) gauge group defined by specifying a fully resolved Calabi-Yau fourfold and consistent four-form G-flux. Its specific U(1) charged matter spectrum allows the desired Yukawa couplings, but forbids dangerous proton decay operators. The model we find: (1) does not follow from an underlying higgsed E 8 gauge group (2) leaves the class of theories that can be analyzed with current split-spectral cover techniques. This avoids recently proposed no-go theorems for models with hypercharge flux, as required to break the GUT group. The appearance of additional fields is related geometrically to considering a more general class of sections and 4-1 splits. We show explicitly that the four-dimensional chiral matter index can still be computed using three-dimensional one-loop Chern-Simons terms.
引用
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页数:22
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