%0 Journal Article
%T Yukawa Couplings in Heterotic Compactification
%A Lara B. Anderson
%A James Gray
%A Dan Grayson
%A Yang-Hui He
%A Andre Lukas
%J Mathematics
%D 2009
%I arXiv
%R 10.1007/s00220-010-1033-8
%X 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.
%U http://arxiv.org/abs/0904.2186v1