We review particle physics model building in type IIB string theory and F-theory. This is a
region in the landscape where in principle many of the key ingredients required for a …

We construct heterotic standard models by compactifying on smooth Calabi-Yau three-folds
in the presence of purely Abelian internal gauge fields. A systematic search over complete …

A bstract The Mordell-Weil group of an elliptically fibered Calabi-Yau threefold X contains
information about the abelian sector of the six-dimensional theory obtained by compactifying …

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 …

A bstract In a previous publication, arxiv: 1106.4804, we have found 200 models from
heterotic Calabi-Yau compactifications with line bundles, which lead to standard models …

We construct explicit G4 fluxes in F-theory compactifications. Our method relies on
identifying algebraic cycles in the Weierstrass equation of elliptic Calabi–Yau fourfolds. We …

A bstract Six-dimensional supergravity theories with\(\mathcal {N}\)=(1, 0) supersymmetry
must satisfy anomaly equations. These equations come from demanding the cancellation of …

A bstract An algorithm to systematically construct all Calabi-Yau elliptic fibrations realized as
hypersurfaces in a toric ambient space for a given base and gauge group is described. This …

A bstract We 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 …

A bstract We develop geometric techniques to determine the spectrum and the chiral indices
of matter multiplets for four-dimensional F-theory compactifications on elliptic Calabi-Yau …