Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-05-12
JHEP 0101:037,2001
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX, 50 pages, 8 figures, minor changes, submitted to JHEP
Scientific paper
10.1088/1126-6708/2001/01/037
We present explicit methods for computing the discriminant curves and the associated Kodaira type fiber degeneracies of elliptically fibered Calabi-Yau threefolds. These methods are applied to a specific three-family, SU(5) grand unified theory of particle physics within the context of Heterotic M-Theory. It is demonstrated that there is always a region of moduli space where a bulk space five-brane is wrapped on a pure fiber in the Calabi-Yau threefold. Restricting the discussion to the smooth parts of the discriminant curve, we explore the properties of the N=2 BPS supermultiplets that arise on the worldvolume of this five-brane due to the degeneration of the elliptic fiber. The associated degenerating M membranes are shown to project to string junctions in the base space. We use string junction techniques to explicitly compute the light BPS hyper- and vector multiplet spectrum for each Kodaira type fiber near the smooth part of the discriminant curve in the SU(5) GUT theory.
Grassi Antonella
Guralnik Zachary
Ovrut Burt
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