Combinatorics inN=1Heterotic Vacua

Seung-Joo Lee
2011 Advances in High Energy Physics  
We briefly review an algorithmic strategy to explore the landscape of heteroticE8×E8vacua, in the context of compactifying smooth Calabi-Yau threefolds with vector bundles. The Calabi-Yau threefolds 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.
doi:10.1155/2011/397895 fatcat:qyvjry6warbavozh6fg54aaenm