The origin of discrete symmetries in F-theory models

4th Symposium on Prospects in the Physics of Discrete Symmetries

Leontaris, George K.^1

Theoretical Physics Division, Ioannina University, Ioannina

GR-45110, Greece^1

关键词: Current status;    Discrete symmetry;    Fermion mass;    Grand unified theories;    Non-abelian groups;    Non-trivial;    Proton decay;    Theory model;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/631/1/012082/pdf
DOI  :  10.1088/1742-6596/631/1/012082

来源: IOP

【 摘 要 】

While non-abelian groups are undoubtedly the cornerstone of Grand Unified Theories (GUTs), phenomenology shows that the role of abelian and discrete symmetries is equally important in model building. The latter are the appropriate tool to suppress undesired proton decay operators and various flavour violating interactions, to generate a hierarchical fermion mass spectrum, etc. In F-theory, GUT symmetries are linked to the singularities of the elliptically fibred K3 manifolds; they are of ADE type and have been extensively discussed in recent literature. In this context, abelian and discrete symmetries usually arise either as a subgroup of the non-abelian symmetry or from a non-trivial Mordell-Weil group associated to rational sections of the elliptic fibration. In this note we give a short overview of the current status and focus in models with rank-one Mordell-Weil group.