The fate of U(1)'s at strong coupling in F-theory

被引:28
作者
Braun, Andreas P. [1 ]
Collinucci, Andres [2 ]
Valandro, Roberto [3 ,4 ]
机构
[1] Kings Coll London, Dept Math, London WC2R 2LS, England
[2] Univ Libre Bruxelles, B-1050 Brussels, Belgium
[3] Abdus Salaam Int Ctr Theoret Phys, I-34014 Trieste, Italy
[4] INFN Sez Trieste, Trieste, Italy
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2014年 / 07期
关键词
F-Theory; D-branes; Differential and Algebraic Geometry;
D O I
10.1007/JHEP07(2014)028
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
U(1) gauge symmetries in F-theory are expected to manifest themselves as codimension three singularities of Calabi-Yau fourfolds. However, some of these are known to become massive at strong coupling via the Stuckelberg mechanism. In this note, we propose a geometric picture for detecting all U(1)'s, and determining which ones are massive and which ones are massless. We find that massive gauge symmetries show up as codimension three singularities that only admit small, non-Kahler, resolutions. Our proposal passes several highly non-trivial tests, including a case with a non-diagonal mass matrix.
引用
收藏
页数:19
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