G(4)-flux, chiral matter and singularity resolution in F-theory compactifications

By Sven Krause, Chris Mayrhofer, T. Weigand. 2011

165 citations recorded by the source corpus.

We construct a set of chirality inducing G(4)-fluxes in global F-theory compactifications on Calabi-Yau four-folds. Special emphasis is put on models with gauge group SU(5) x U(1)(X) relevant in the context of F-theory GUT model building, which are described in terms of a U(1)-restricted Tate model. A G(4)-flux arises in a manner completely analogous to the U(1)x gauge potential. We describe in detail the resolution by blow-up of the various singularities responsible for the U(1)(X) factor and the standard SU(5) gauge group and match the result with techniques applied in the context of tonic geometry. This provides an explicit identification of the structure of the resolved fibre over the matter curves and over the enhancement points relevant for Yukawa couplings. We compute the flux-induced chiral index both of SU(5) charged matter and of SU(5) singlets charged only under U(1)(X) localised on curves which are not contained in the SU(5) locus. We furthermore discuss global consistency conditions such as D3-tadpole cancellation, D-term supersymmetry and Freed-Witten quantisation. The U(1)(X) gauge flux is a global extension of a class of split spectral cover bundles. It constitutes an essential ingredient in the construction of globally defined F-theory compactifications with chiral matter. We exemplify this in a three-generation SU(5) x U(1)(X) model whose flux satisfies all of the above global consistency conditions. We also extend our results to chiral fluxes in models without U(I) restriction. (C) 2011 Elsevier B.V. All rights reserved.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/22349d684f66884dff83b5a6849b05dbaf7fcacb

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

Citations in the corpus

Anomaly cancellation and abelian gauge symmetries in F-theory (2012, methodology): “Fluxes of this type have been considered previously in [11, 12, 13, 14].”
F-theory on all toric hypersurface fibrations and its Higgs branches (2014, background): “• Elliptic fibers with an increasing number of rational points and their corresponding elliptically fibered Calabi-Yau manifolds X with a Mordell-Weil group (MW-group) of rational sections of increasing rank have been systematically constructed and studied [31–46].”
F-theory compactifications with multiple U(1)-factors: constructing elliptic fibrations with rational sections (2013, background): “Rank one Mordell-Weil groups in compact elliptic fibrations have been studied recently in the F-theory literature in varying contexts [39, 40, 41, 42, 43, 44, 45, 46].”
Anomaly equations and intersection theory (2011, background): “These contain information on the local matter we obtain [11, 12, 35, 36, 37, 38, 39, 40, 41].”
MODELS OF PARTICLE PHYSICS FROM TYPE IIB STRING THEORY AND F-THEORY: A REVIEW (2012, methodology): “In F-theory the G-flux naturally integrates over four-cycles and these are denoted matter surfaces and constructed as follows [178–181,200].”