Generalized Calabi-Yau structures and mirror symmetry
High Energy Physics - Theory
2007-05-23 v2
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.
Cite
@article{arxiv.hep-th/0406046,
title = {Generalized Calabi-Yau structures and mirror symmetry},
author = {Claus Jeschek},
journal= {arXiv preprint arXiv:hep-th/0406046},
year = {2007}
}
Comments
AMS-LaTeX, 15 pages, no figures; v2: typos corrected, citations clarified