On Local F-theory Geometries and Intersecting D7-branes

Details On Local F-theory Geometries and Intersecting D7-branes On Local F-theory Geometries and Intersecting D7-branes

2009-02-06

arxiv.org/abs/0902.1161v4

Int.J.Geom.Meth.Mod.Phys.6:1207-1220,2009

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, 1 figure, Reference added, published in IJGMMP (2009)

Scientific paper

10.1142/S0219887809004181

We discuss local F-theory geometries and theirs gauge theory dualities in terms of intersecting D7-branes wrapped four-cycles in Type IIB superstring. The manifolds are built as elliptic K3 surface fibrations over intersecting F_0=CP^1 \times CP^1 base geometry according to ADE Dynkin Diagrams. The base is obtained by blowing up the extended ADE hyper-Kahler singularities of eight dimensional manifolds considered as sigma model target spaces with eight supercharges. The resulting gauge theory of such local F-theory models are given in terms of Type IIB D7-branes wrapped intersecting F_0. The four dimensional N=1 anomaly cancelation requirement translates into a condition on the associated affine Lie algebras.

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