Denis Klevers

F-theory compactifications with multiple U(1)-factors: constructing elliptic fibrations with rational sections

A bstractWe study F-theory compactifications with U(1)×U(1) gauge symmetry on elliptically fibered Calabi-Yau manifolds with a rank two Mordell-Weil group. We find that the natural presentation of an elliptic curve

Anomaly cancellation and abelian gauge symmetries in F-theory

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F-Theory on all Toric Hypersurface Fibrations and its Higgs Branches

with two rational points and a zero point is the generic Calabi-Yau onefold in dP2. We determine the birational map to its Tate and Weier- strass form and the coordinates of the two rational points in Weierstrass form. We discuss its resolved elliptic fibrations over a general base B and classify them in the case of B =

Chiral four-dimensional F-theory compactifications with SU(5) and multiple U(1)-factors

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Elliptic fibrations with rank three Mordell-Weil group: F-theory with U(1)×U(1)×U(1) gauge symmetry

2. A thorough analysis of the generic codimension two singularities of these elliptic Calabi-Yau manifolds is presented. This determines the general U(1)×U(1)-charges of matter in corresponding F-theory compactifications. The matter multiplicities for the fibration over

Explicit de Sitter flux vacua for global string models with chiral matter

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F-theory vacua with Z3 gauge symmetry

2 are determined explicitly and shown to be consistent with anomaly cancellation. Explicit toric examples are constructed, both with U(1)×U(1) and SU(5)×U(1)×U(1) gauge symmetry. As a by-product, we prove the birational equivalence of the two elliptic fibrations with elliptic fibers in the two blow-ups Bl(1,0,0)

F-theory compactifications with multiple U(1)-factors: addendum

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Fluxes and Warping for Gauge Couplings in F-theory

2(1, 2, 3) and Bl(0,1,0)

Three-Family Particle Physics Models from Global F-theory Compactifications

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