Model building with $F$-theory

Donagi, Ron; Wijnholt, Martijn

doi:10.4310/atmp.2011.v15.n5.a2

Cited by 391 publications

(1,228 citation statements)

References 83 publications

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“…This way, F-theory can be considered as a 12-dimensional string theory compactified on a torus characterised by the above modulus τ . Algebraically, the fibration is described by a birationally equivalent complex cubic equation, the so called Weierstraß model [2][3][4]. Depending on the specific structure of its coefficients, at certain points of the fibration the torus degenerates and the fibration becomes singular.…”

Section: Jhep10(2015)041mentioning

confidence: 99%

“…In this context, one may determine the massless spectrum of the effective theory and all its properties under the GUT group and its quantum numbers with respect to the symmetries of the spectral cover. Furthermore from general characteristics of the compact manifold and G-fluxes [3] we can determine the chiralities of the massless spectrum.…”

Section: Jhep10(2015)041mentioning

confidence: 99%

“…Choosing M 5 = 0 for a Higgs matter curve the coloured triplet-antitriplet fields appear only in pairs which under certain conditions [2,3] form heavy massive states. On the other hand, the difference of the doublet-antidoublet fields is non-zero and is determined solely from the hyperflux integer parameter N .…”

Section: Flux Restrictionsmentioning

confidence: 99%

“…In the local approach, one may associate the GUT symmetry to a particular divisor of the elliptically fibred manifold and use techniques such as the spectral cover [3] to deal with the implications of the remaining symmetry and the topological properties of the compact space. In this context, one may determine the massless spectrum of the effective theory and all its properties under the GUT group and its quantum numbers with respect to the symmetries of the spectral cover.…”

Section: Jhep10(2015)041mentioning

confidence: 99%

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Phenomenological implications of a minimal F-theory GUT with discrete symmetry

Karozas

King

Leontaris

et al. 2015

J. High Energ. Phys.

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Abstract:We discuss the origin of both non-Abelian discrete family symmetry and Abelian continuous family symmetry, as well as matter parity, from F-theory SUSY GUTs. We propose a minimal model based on the smallest GUT group SU(5), together with the non-Abelian family symmetry D 4 plus an Abelian family symmetry, where fluxes are responsible for doublet-triplet splitting, leading to a realistic low energy spectrum with phenomenologically acceptable quark and lepton masses and mixing. We show how a Z 2 matter parity emerging from F-theory can suppress proton decay while allowing neutronantineutron oscillations, providing a distinctive signature of the set-up.

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Section: Jhep10(2015)041mentioning

confidence: 99%

Section: Jhep10(2015)041mentioning

confidence: 99%

Section: Flux Restrictionsmentioning

confidence: 99%

Section: Jhep10(2015)041mentioning

confidence: 99%

See 2 more Smart Citations

Phenomenological implications of a minimal F-theory GUT with discrete symmetry

Karozas

King

Leontaris

et al. 2015

J. High Energ. Phys.

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“…Ignoring the details of how this happens for the concrete geometry under consideration it has been shown that by degenerating the fourfold in a controlled way viable phenomenological low energy particle spectra will emerge in four dimensions as was worked out in the F-theory revival starting with the papers of [3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

Modular amplitudes and flux-superpotentials on elliptic Calabi-Yau fourfolds

Cota¹,

Klemm

Schimannek³

2018

J. High Energ. Phys.

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We discuss the period geometry and the topological string amplitudes on elliptically fibered Calabi-Yau fourfolds in toric ambient spaces. In particular, we describe a general procedure to fix integral periods. Using some elementary facts from homological mirror symmetry we then obtain Bridgelands involution and its monodromy action on the integral basis for non-singular elliptically fibered fourfolds. The full monodromy group contains a subgroup that acts as PSL(2,Z) on the Kähler modulus of the fiber and we analyze the consequences of this modularity for the genus zero and genus one amplitudes as well as the associated geometric invariants. We find holomorphic anomaly equations for the amplitudes, reflecting precisely the failure of exact PSL(2,Z) invariance that relates them to quasi-modular forms. Finally we use the integral basis of periods to study the horizontal flux superpotential and the leading order Kähler potential for the moduli fields in F-theory compactifications globally on the complex structure moduli space. For a particular example we verify attractor behaviour at the generic conifold given an aligned choice of flux which we expect to be universal. Furthermore we analyze the superpotential at the orbifold points but find no stable vacua.

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Local grand unification in the heterotic landscape

Schmidt

2009

Fortschritte der Physik

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We consider the possibility that the unification of the electroweak interactions and the strong force arises from string theory, at energies significantly lower than the string scale. As a tool, an effective grand unified field theory in six dimensions is derived from an anisotropic orbifold compactification of the heterotic string. It is explicitly shown that all anomalies cancel in the model, though anomalous Abelian gauge symmetries are present locally at the boundary singularities. In the supersymmetric vacuum additional interactions arise from higher-dimensional operators. We develop methods that relate the couplings of the effective theory to the location of the vacuum, and find that unbroken discrete symmetries play an important role for the phenomenology of orbifold models. An efficient algorithm for the calculation of the superpotential to arbitrary order is developed, based on symmetry arguments. We furthermore present a correspondence between bulk fields of the orbifold model in six dimensions, and the moduli fields that arise from compactifying four internal dimensions on a manifold with non-trivial gauge background.arXiv:0906.5501v2 [hep-th]

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Model building with $F$-theory

Cited by 391 publications

References 83 publications

Phenomenological implications of a minimal F-theory GUT with discrete symmetry

Phenomenological implications of a minimal F-theory GUT with discrete symmetry

Modular amplitudes and flux-superpotentials on elliptic Calabi-Yau fourfolds

Local grand unification in the heterotic landscape

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