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Lectures on F-theory compactifications and model building

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arxiv 1009.3497 v2 pith:AJLUQ5H7 submitted 2010-09-17 hep-th

classification hep-th
keywords f-theorymodelsaspectsconnectionconstructionphenomenologicalaimingarmed
verification ladder T0 review T1 audit T2 compute T3 formal
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These lecture notes are devoted to formal and phenomenological aspects of F-theory. We begin with a pedagogical introduction to the general concepts of F-theory, covering classic topics such as the connection to Type IIB orientifolds, the geometry of elliptic fibrations and the emergence of gauge groups, matter and Yukawa couplings. As a suitable framework for the construction of compact F-theory vacua we describe a special class of Weierstrass models called Tate models, whose local properties are captured by the spectral cover construction. Armed with this technology we proceed with a survey of F-theory GUT models, aiming at an overview of basic conceptual and phenomenological aspects, in particular in connection with GUT breaking via hypercharge flux.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Towards the Non-Perturbative Completion of 4d N=1 Effective Theories of Gravity

    hep-th 2025-10 conditional novelty 7.0 of 10

    Small-volume regimes of flop curves in 4d N=1 F-theory require non-perturbative states—blow-up moduli and D3-string excitations—to complete the locally enhanced N=2 spectrum.

  2. Testing F-theory GUTs with the Axiverse

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    In F-theory GUTs, non-universal ALPs induced by hypercharge flux satisfy g_aγ/m_a well below the QCD axion prediction when gauge couplings unify near the string scale.

  3. Lectures on Naturalness, String Landscape and Multiverse

    hep-th 2020-08 unverdicted novelty 1.0 of 10

    Lecture notes providing a technical introduction to naturalness problems and the string theory landscape for graduate students.

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