Generalized Calabi-Yau structures and mirror symmetry

Details Generalized Calabi-Yau structures and mirror symmetry Generalized Calabi-Yau structures and mirror symmetry

2004-06-04

arxiv.org/abs/hep-th/0406046v2

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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.

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