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Generalized Calabi-Yau structures and mirror symmetry

Claus Jeschek
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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.

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Claus Jeschek. 2004-06-17. Generalized Calabi-Yau structures and mirror symmetry. https://arxiv.org/abs/hep-th/0406046

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