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Mirror Symmetry on K3 Surfaces as a Hyper-Kähler Rotation

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Abstract

We show that under the hypotheses of Strominger, Yau and Zaslow, a mirror partner of a K3 surface X with a fibration in special Lagrangian tori can be obtained by rotating the complex structure of X within its hyper-Kähler family of complex structures. Furthermore, the same hypotheses force the B-field to vanish.

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Authors and Affiliations

  1. Scuola Internazionale Superiore di Studi Avanzati, Via Beirut 2-4, 34014, Trieste, Italy

    Ugo Bruzzo & Guido Sanguinetti

  2. Dipartimento di Matematica, Università degli Studi di Genova, Via Dodecaneso 35, 16146, Genova, Italy

    Ugo Bruzzo

  3. Dipartimento di Scienze Fisiche, Università degli Studi di Genova, Via Dodecaneso 33, 16146, Genova, Italy

    Guido Sanguinetti

Authors
  1. Ugo Bruzzo
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  2. Guido Sanguinetti
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Bruzzo, U., Sanguinetti, G. Mirror Symmetry on K3 Surfaces as a Hyper-Kähler Rotation. Letters in Mathematical Physics 45, 295–301 (1998). https://doi.org/10.1023/A:1007446916202

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  • DOI: https://doi.org/10.1023/A:1007446916202

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