IIB compactifications enjoy the possibility to break GUT groups via fluxes without giving mass to the hypercharge gauge field. Although this important advantage has greatly motivated F-theory constructions, no such fluxes have been constructed directly in terms of the M-theory G 4-form. In this note, we give a general prescription for constructing hypercharge G-fluxes. By using a stable version of Sen’s weak coupling limit, we verify their connection with IIB fluxes. We illustrate the lift of fluxes in a number of examples, including a compact SU(5) × U(1) model with explicit realization of doublet-triplet splitting. Finally, we prove an equivalence conjectured in an earlier work as a by-product.
Hypercharge flux in F-theory and the stable Sen limit
VALANDRO, ROBERTO
2014-01-01
Abstract
IIB compactifications enjoy the possibility to break GUT groups via fluxes without giving mass to the hypercharge gauge field. Although this important advantage has greatly motivated F-theory constructions, no such fluxes have been constructed directly in terms of the M-theory G 4-form. In this note, we give a general prescription for constructing hypercharge G-fluxes. By using a stable version of Sen’s weak coupling limit, we verify their connection with IIB fluxes. We illustrate the lift of fluxes in a number of examples, including a compact SU(5) × U(1) model with explicit realization of doublet-triplet splitting. Finally, we prove an equivalence conjectured in an earlier work as a by-product.Pubblicazioni consigliate
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