Yukawa Couplings in Heterotic Compactification

Details Yukawa Couplings in Heterotic Compactification Yukawa Couplings in Heterotic Compactification

2009-04-15

arxiv.org/abs/0904.2186v1

Commun.Math.Phys.297:95-127,2010

Physics

High Energy Physics

High Energy Physics - Theory

38 pages

Scientific paper

10.1007/s00220-010-1033-8

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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