2009/04/15 by Lara B. Anderson, James Gray, Dan Grayson +4 · 4 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Geometry and complex manifolds #hep-th
paper · pdf · doi:10.1007/s00220-010-1033-8
published as Commun.Math.Phys.297:95-127,2010 · 38 pages
arxiv created 2009/04/15 · openalex publication_date 2010/03/18 · arxiv updated 2010/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
We present a practical, algebraic method for efficiently calculating the Yukawa couplings of a large class of heterotic compactifications on Calabi-Yau three-folds with non-standard embeddings. Our methodology covers all of, though is not restricted to, the recently classified positive monads over favourable complete intersection Calabi-Yau three-folds. Since the algorithm is based on manipulating polynomials it can be easily implemented on a computer. This makes the automated investigation of Yukawa couplings for large classes of smooth heterotic compactifications a viable possibility.