Cohomology of Line Bundles: Applications
arXiv:1010.3717 · doi:10.1063/1.3677646
Abstract
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 recent algorithm for the computation of line bundle valued cohomology classes over toric varieties are presented. For the heterotic string, the prime examples are so-called monad constructions on Calabi-Yau manifolds. In the context of Type II orientifolds, one often needs to compute equivariant cohomology for line bundles, necessitating us to generalize our algorithm to this case. Moreover, we exemplify that the different terms in Batyrev's formula and its generalizations can be given a one-to-one cohomological interpretation. This paper is considered the third in the row of arXiv:1003.5217 and arXiv:1006.2392.
56 pages, 8 tables, cohomCalg incl. Koszul extension available at http://wwwth.mppmu.mpg.de/members/blumenha/cohomcalg/
References in corpus (5)
Cited by in corpus (13)
- Cohomology of Line Bundles: A Computational Algorithm
- A New Construction of Calabi-Yau Manifolds: Generalized CICYs
- Planckian Axions in String Theory
- A Note on Poly-Instanton Effects in Type IIB Orientifolds on Calabi-Yau Threefolds
- Gauge Backgrounds and Zero-Mode Counting in F-Theory
- Fluxed M5-instantons in F-theory
- Systematics of Axion Inflation in Calabi-Yau Hypersurfaces
- A Global SU(5) F-theory model with Wilson line breaking
- Machine Learning and Algebraic Approaches towards Complete Matter Spectra in 4d F-theory
- Heterotic Model Building: 16 Special Manifolds
- Four Kahler Moduli Stabilisation in type IIB Orientifolds with K3-fibred Calabi-Yau threefold compactification
- Cohomology of Line Bundles: Proof of the Algorithm
- Determinantal Calabi-Yau varieties in Grassmannians and the Givental -functions