Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-04-22
Physics
High Energy Physics
High Energy Physics - Theory
59 pages, 31 figures
Scientific paper
Factorized spectral surface scenario has been considered as one of solutions to the dimension-4 proton decay problem in supersymmetric compactifications of F-theory. It has been formulated in language of gauge theory on 7+1 dimensions, but the gauge theories descriptions can capture physics of geometry of F-theory compactification only approximately at best. Given the severe constraint on the renormalizable couplings that lead to proton decay, it is worth studying without an approximation whether or not the proton decay operators are removed completely in this scenario. We clarify how the behavior of spectral surface and discriminant locus are related, study monodromy of 2-cycles in a Calabi--Yau 4-fold geometry, and find that the proton decay operators are likely to be generated in a simple factorization limit of the spectral surface. A list of loopholes in this study, and hence a list of chances to save the factorized spectral surface scenario, is also presented.
Hayashi Hirotaka
Kawano Teruhiko
Tsuchiya Yoichi
Watari Taizan
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