From local to global in F-theory model building

JOURNAL OF GEOMETRY AND PHYSICS

卷:60

Article

Andreas, Bjoern¹  Curio, Gottfried² 

[1] Humboldt Univ, Inst Math, D-12489 Berlin, Germany

[2] Univ Munich, Dept Phys, Arnold Sommerfeld Ctr Theoret Phys, D-80333 Munich, Germany

关键词: F-theory;    ADE singularities;    Calabi-Yau fourfolds;    Heterotic string theory;   

DOI  :  10.1016/j.geomphys.2010.03.008

来源: Elsevier

【 摘 要 】

When locally engineering F-theory models some D7-branes for the gauge group factors are specified and matter is localized on the intersection curves of the compact parts of the world-volumes. In this note, we discuss to what extent one can draw conclusions about F-theory models by just restricting the attention locally to a particular seven-brane. Globally, the possible D7-branes are not independent from each other and the (compact part of the) D7-brane can have unavoidable intrinsic singularities. Many special intersecting loci which were not chosen by hand occur inevitably, notably codimension-three loci which are not intersections of matter curves. We describe these complications specifically in a global SU(5) model and also their impact on the tadpole cancellation condition. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free