Mirror symmetry on K3 surfaces as a hyperkaehler rotation

Abstract

We show that under the hypotheses of Strominger, Yau and Zaslow's paper, 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 hyperk\"ahler family of complex structures. The same hypotheses force the B-field to vanish.

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