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Abelian gauge symmetries and proton decay in global F-theory GUTs

The existence of Abelian gauge symmetries in four-dimensional $F$-theory compactifications depends on the global geometry of the internal Calabi-Yau four-fold and has important phenomenological…
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Spacetime instanton corrections in 4D string vacua: The Seesaw mechanism for D-Brane models

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A stringy test of the Scalar Weak Gravity Conjecture

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Mordell-Weil torsion and the global structure of gauge groups in F-theory

A bstractWe study the global structure of the gauge group G of F-theory compactified on an elliptic fibration Y. The global properties of G are encoded in the torsion subgroup of the Mordell-Weil…
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Global F-theory GUTs

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U(1) symmetries in F-theory GUTs with multiple sections

A bstractWe present a systematic construction of F-theory compactifications with Abelian gauge symmetries in addition to a non-Abelian gauge group G. The formalism is generally applicable to models…
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GUTs in Type IIB Orientifold Compactifications

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Lectures on F-theory compactifications and model building

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…
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d-Brane Instantons in Type II Orientifolds

We review recent progress in determining the effects of d-brane instantons in supersymmetric compactifications of Type II string theory to four dimensions. We describe the abstract d-brane instanton…
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One in a Billion: MSSM-like D-Brane Statistics

Continuing our recent work hep-th/0411173, we study the statistics of four-dimensional, supersymmetric intersecting D-brane models in a toroidal orientifold background. We have performed a vast…
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