2014•Journal of High Energy PhysicsOpen access

Hypercharge flux in F-theory and the stable Sen limit

Andreas P. Braun, Andrés Collinucci, Roberto Valandro

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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.

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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.

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Available 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.

Key concepts: Hypercharge, Physics, Limit (mathematics), Lift (data mining), Equivalence (formal languages), Gauge group, String theory, Theoretical physics

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