Combinatorics in N = 1 Heterotic Vacua
High Energy Physics - Theory
2011-05-18 v1
Abstract
We briefly review an algorithmic strategy to explore the landscape of heterotic E8 \times E8 vacua, in the context of compactifying smooth Calabi-Yau three-folds with vector bundles. The Calabi-Yau three-folds are algebraically realised as hypersurfaces in toric varieties and a large class of vector bundles are constructed thereon as monads. In the spirit of searching for Standard-like heterotic vacua, emphasis is placed on the integer combinatorics of the model-building programme.
Cite
@article{arxiv.1105.3462,
title = {Combinatorics in N = 1 Heterotic Vacua},
author = {Seung-Joo Lee},
journal= {arXiv preprint arXiv:1105.3462},
year = {2011}
}
Comments
14 pages. An introductory review prepared for the special issue "Computational Algebraic Geometry in String and Gauge Theory" of Advances in High Energy Physics