179 citations · 1k across the 36 of their papers we have counts for
28 papers · 1 filter
Proof of absence of de Sitter vacua in classical type II supergravity
Harald Skarke
We consider classical type II supergravity with arbitrary fluxes, Dirichlet branes and orientifold planes and prove that a four-dimensional compactification of this theory can neve…
All Weight Systems for Calabi-Yau Fourfolds from Reflexive Polyhedra
Friedrich Schöller, Harald Skarke
For any given dimension , all reflexive -polytopes can be found (in principle) as subpolytopes of a number of maximal polyhedra that are defined in terms of -tuples of…
Calabi-Yau manifolds and sporadic groups
Andreas Banlaki, Abhishek Chowdhury, Abhiram Kidambi +3
A few years ago a connection between the elliptic genus of the K3 manifold and the largest Mathieu group M was proposed. We study the elliptic genera for Calabi-Yau manifold…
An Abundance of K3 Fibrations from Polyhedra with Interchangeable Parts
Philip Candelas, Andrei Constantin, Harald Skarke
Even a cursory inspection of the Hodge plot associated with Calabi-Yau threefolds that are hypersurfaces in toric varieties reveals striking structures. These patterns correspond t…
How to Classify Reflexive Gorenstein Cones
Harald Skarke
Two of my collaborations with Max Kreuzer involved classification problems related to string vacua. In 1992 we found all 10,839 classes of polynomials that lead to Landau-Ginzburg…
Affine Kac-Moody algebras, CHL strings and the classification of tops
Vincent Bouchard, Harald Skarke
Candelas and Font introduced the notion of a `top' as half of a three dimensional reflexive polytope and noticed that Dynkin diagrams of enhanced gauge groups in string theory can…