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Yukawa Couplings in Heterotic Compactification

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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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Authors and Affiliations

  1. Department of Physics and Astronomy, University of Pennsylvania, 209 South 33rd Street, Philadelphia, PA, 19104-6396, USA

    Lara B. Anderson

  2. Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford, OX1 3NP, UK

    James Gray, Yang-Hui He & André Lukas

  3. Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, IL, 61801, USA

    Dan Grayson

  4. Merton College, Oxford, OX1 4JD, UK

    Yang-Hui He

  5. Institute for Advanced Study, School of Natural Sciences, Einstein Drive, Princeton, NJ, 08540, USA

    Lara B. Anderson

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  1. Lara B. Anderson
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  2. James Gray
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  4. Yang-Hui He
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  5. André Lukas
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Correspondence to Lara B. Anderson.

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Communicated by N.A. Nekrasov

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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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