Mirror symmetry on K3 surfaces as a hyperkaehler rotation
Mathematical Physics
2008-11-06 v2 High Energy Physics - Theory
Algebraic Geometry
math.MP
Abstract
We show that under the hypotheses of Strominger, Yau and Zaslow's paper, a mirror partner of a K3 surface with a fibration in special Lagrangian tori can be obtained by rotating the complex structure of within its hyperk\"ahler family of complex structures. The same hypotheses force the B-field to vanish.
Keywords
Cite
@article{arxiv.physics/9802044,
title = {Mirror symmetry on K3 surfaces as a hyperkaehler rotation},
author = {U. Bruzzo and G. Sanguinetti},
journal= {arXiv preprint arXiv:physics/9802044},
year = {2008}
}
Comments
7 pages, Ams-Latex v. 1.2, no figures. References updated, a sentence changed. To appear in Lett. Math. Phys