Generalized Calabi-Yau structures and mirror symmetry

Abstract

We use the differential geometrical framework of generalized (almost) Calabi-Yau structures to reconsider the concept of mirror symmetry. It is shown that not only the metric and B-field but also the algebraic structures are uniquely mapped. As an example we use the six-torus as a trivial generalized Calabi-Yau 6-fold and an appropriate B-field.

AMS-LaTeX, 15 pages, no figures; v2: typos corrected, citations clarified