Abstract
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.
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Anderson, L.B., Gray, J., Grayson, D. et al. Yukawa Couplings in Heterotic Compactification. Commun. Math. Phys. 297, 95–127 (2010). https://doi.org/10.1007/s00220-010-1033-8
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DOI: https://doi.org/10.1007/s00220-010-1033-8