Non-simply-laced Lie algebras via F theory strings

Details Non-simply-laced Lie algebras via F theory strings Non-simply-laced Lie algebras via F theory strings

2010-07-27

arxiv.org/abs/1007.4668v1

JHEP 1011:025,2010

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 3 figures

Scientific paper

10.1007/JHEP11(2010)025

In order to describe the appearance in F theory of the non--simply--laced Lie algebras, we use the representation of symmetry enhancements by means of string junctions. After an introduction to the techniques used to describe symmetry enhancement, that is algebraic geometry, BPS states analysis and string junctions, we concentrate on the latter. We give an explicit description of the folding of D_{2n} to B_n of the folding of E_6 to F_4 and that of D_4 to G_2 in terms of junctions and Jordan strings. We also discuss the case of C_n, but we are unable in this case to provide a string interpretation.

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