2009/08/03 by Lalla Btissam Drissi, Drissi, Lalla Btissam, Leila Medari +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.0908.0471
86 pages, 20 figures
arxiv created 2009/08/03 · arxiv updated 2009/12/01
We study a class of 4D N=1 supersymmetric GUT- type models in the framework of the Beasley-Heckman-Vafa theory. We first review general results on MSSM and supersymmetric GUT; and we describe useful tools on 4D quiver gauge theories in F- theory set up. Then we study the effective supersymmetric gauge theory in the 7-brane wrapping 4-cycles in F-theory on local elliptic CY4s based on a complex tetrahedral surface T and its blown ups Tn. The complex 2d geometries T and Tn are non planar projective surfaces that extend the projective plane ℙ2 and the del Pezzos. Using the power of toric geometry encoding the toric data of the base of the local CY4, we build a class of 4D N=1 non minimal GUT- type models based on T and Tn. An explicit construction is given for the SU(5) GUT-type model.