179 citations · 1.4k across the 52 of their papers we have counts for
52 papers
Conifold degenerations of Fano 3-folds as hypersurfaces in toric varieties
Victor Batyrev, Maximilian Kreuzer
There exist exactly 166 4-dimensional reflexive polytopes such that the corresponding 4-dimensional Gorenstein toric Fano varieties have at worst terminal singularities in codimens…
Heterotic Bundles on Calabi-Yau Manifolds with Small Picard Number
Yang-Hui He, Maximilian Kreuzer, Seung-Joo Lee +1
We undertake a systematic scan of vector bundles over spaces from the largest database of known Calabi-Yau three-folds, in the context of heterotic string compactification. Specifi…
Toric K3-Fibred Calabi-Yau Manifolds with del Pezzo Divisors for String Compactifications
Michele Cicoli, Maximilian Kreuzer, Christoph Mayrhofer
We analyse several explicit toric examples of compact K3-fibred Calabi-Yau three-folds which can be used for the study of string dualities and are crucial ingredients for the const…
Toric Methods in F-theory Model Building
Johanna Knapp, Maximilian Kreuzer
In this review article we discuss recent constructions of global F-theory GUT models and explain how to make use of toric geometry to do calculations within this framework. After i…
Toric Construction of Global F-Theory GUTs
Johanna Knapp, Maximilian Kreuzer, Christoph Mayrhofer +1
We systematically construct a large number of compact Calabi-Yau fourfolds which are suitable for F-theory model building. These elliptically fibered Calabi-Yaus are complete inter…
Super Landau-Ginzburg mirrors and algebraic cycles
Richard S. Garavuso, Ludmil Katzarkov, Maximilian Kreuzer +1
We investigate the super Landau-Ginzburg mirrors of gauged linear sigma models which, in an appropriate low energy limit, reduce to nonlinear sigma models with Kaehler supermanifol…