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On the equivalence of the two most favoured Calabi-Yau compactifications

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Abstract

We discuss the two known multiply connected Calabi-Yau manifolds which give rise to three generations of elementary particles when chosen as the classical vacuum configuration of theE 8×E 8 heterotic superstring. It is shown that these two manifolds are diffeomorphic.

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Authors and Affiliations

  1. Lyman Laboratory of Physics, Harvard University, 02138, Cambridge, MA, USA

    Brian R. Greene

  2. Department of Theoretical Physics, University of Oxford, 1 Keble Road, OX1 3NP, Oxford, UK

    Kelley H. Kirklin

Authors
  1. Brian R. Greene
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  2. Kelley H. Kirklin
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Additional information

Communicated by A. Jaffe

Part of this work carried out at and supported by the IBM T.J. Watson Research Center, Yorktown Heights, NY

On leave from Lyman Laboratory of Physics, Harvard University

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Greene, B.R., Kirklin, K.H. On the equivalence of the two most favoured Calabi-Yau compactifications. Commun.Math. Phys. 113, 105–114 (1987). https://doi.org/10.1007/BF01221400

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  • DOI: https://doi.org/10.1007/BF01221400

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