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.
@article{arxiv.0904.2186,
title = {Yukawa Couplings in Heterotic Compactification},
author = {Lara B. Anderson and James Gray and Dan Grayson and Yang-Hui He and Andre Lukas},
journal= {arXiv preprint arXiv:0904.2186},
year = {2010}
}