String Junctions and Non-Simply Connected Gauge Groups

Details String Junctions and Non-Simply Connected Gauge Groups String Junctions and Non-Simply Connected Gauge Groups

2001-02-07

arxiv.org/abs/hep-th/0102031v1

JHEP 0107 (2001) 002

Physics

High Energy Physics

High Energy Physics - Theory

latex, 34 pages, 8 figures

Scientific paper

10.1088/1126-6708/2001/07/002

Relations between the global structure of the gauge group in elliptic F-theory compactifications, fractional null string junctions, and the Mordell-Weil lattice of rational sections are discussed. We extend results in the literature, which pertain primarily to rational elliptic surfaces and obtain pi^1(G) where G is the semi-simple part of the gauge group. We show how to obtain the full global structure of the gauge group, including all U(1) factors. Our methods are not restricted to rational elliptic surfaces. We also consider elliptic K3's and K3-fibered Calabi-Yau three-folds.

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