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 hyperkähler family of complex structures. The same hypotheses force the B-field to vanish.

7 pages, Ams-Latex v. 1.2, no figures. References updated, a sentence changed. To appear in Lett. Math. Phys

References in corpus (3)

• Special Lagrangian Fibrations I: Topology
• The Geometry Underlying Mirror Symmetry
• The moduli space of special Lagrangian submanifolds

Cited by in corpus (1)

• Mirror Symmetry on Kummer Type K3 Surfaces