193 citations · 533 across the 8 of their papers we have counts for
8 papers
Calabi-Yau Manifolds with Large Volume Vacua
James Gray, Yang-Hui He, Vishnu Jejjala +3
We describe an efficient, construction independent, algorithmic test to determine whether Calabi--Yau threefolds admit a structure compatible with the Large Volume moduli stabiliza…
Computing Cohomology on Toric Varieties
Benjamin Jurke
In these notes a recently developed technique for the computation of line bundle-valued sheaf cohomology group dimensions on toric varieties is reviewed. The key result is a vanish…
Computational Tools for Cohomology of Toric Varieties
Ralph Blumenhagen, Benjamin Jurke, Thorsten Rahn
In this review, novel non-standard techniques for the computation of cohomology classes on toric varieties are summarized. After an introduction of the basic definitions and proper…
Cohomology of Line Bundles: Applications
Ralph Blumenhagen, Benjamin Jurke, Thorsten Rahn +1
Massless modes of both heterotic and Type II string compactifications on compact manifolds are determined by vector bundle valued cohomology classes. Various applications of our re…
Cohomology of Line Bundles: A Computational Algorithm
Ralph Blumenhagen, Benjamin Jurke, Thorsten Rahn +1
We present an algorithm for computing line bundle valued cohomology classes over toric varieties. This is the basic starting point for computing massless modes in both heterotic an…
On Instanton Effects in F-theory
Ralph Blumenhagen, Andres Collinucci, Benjamin Jurke
We revisit the issue of M5-brane instanton corrections to the superpotential in F-theory compactifications on elliptically fibered Calabi-Yau fourfolds. Elaborating on concrete geo…
Global F-theory GUTs
Ralph Blumenhagen, Thomas W. Grimm, Benjamin Jurke +1
We construct global F-theory GUT models on del Pezzo surfaces in compact Calabi-Yau fourfolds realized as complete intersections of two hypersurface constraints. The intersections…
F-theory uplifts and GUTs
Ralph Blumenhagen, Thomas W. Grimm, Benjamin Jurke +1
We study the F-theory uplift of Type IIB orientifold models on compact Calabi-Yau threefolds containing divisors which are del Pezzo surfaces. We consider two examples defined via…