T-duality orbifolds of heterotic Narain compactifications

  • Stefan Groot Nibbelink
  • Patrick K.S. VaudrevangeEmail author
Open Access
Regular Article - Theoretical Physics


To obtain a unified framework for symmetric and asymmetric heterotic orbifold constructions we provide a systematic study of Narain compactifications orbifolded by finite order T -duality subgroups. We review the generalized vielbein that parametrizes the Narain moduli space (i.e. the metric, the B-field and the Wilson lines) and introduce a convenient basis of generators of the heterotic T -duality group. Using this we generalize the space group description of orbifolds to Narain orbifolds. This yields a unified, crystallographic description of the orbifold twists, shifts as well as Narain moduli. In particular, we derive a character formula that counts the number of unfixed Narain moduli after orbifolding. More-over, we develop new machinery that may ultimately open up the possibility for a full classification of Narain orbifolds. This is done by generalizing the geometrical concepts of Open image in new window and affine classes from the theory of crystallography to the Narain case. Finally, we give a variety of examples illustrating various aspects of Narain orbifolds, including novel T -folds.


String Duality Superstring Vacua Superstrings and Heterotic String 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Authors and Affiliations

  • Stefan Groot Nibbelink
    • 1
  • Patrick K.S. Vaudrevange
    • 2
    • 3
    Email author
  1. 1.School of Engineering and Applied SciencesRotterdam University of Applied SciencesRotterdamNetherlands
  2. 2.Arnold Sommerfeld Center for Theoretical PhysicsLudwig-Maximilians-Universität MünchenMünchenGermany
  3. 3.Physik Department T30, Technische Universität MünchenGarchingGermany

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