Some Features of (0,2) Moduli Space

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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32 pages, 2 eps figures, harvmac

Scientific paper

10.1016/S0550-3213(97)00237-X

We discuss some aspects of perturbative $(0,2)$ Calabi-Yau moduli space. In particular, we show how models with different $(0,2)$ data can meet along various sub-loci in their moduli space. In the simplest examples, the models differ by the choice of desingularization of a holomorphic V-bundle over the same resolved Calabi-Yau base while in more complicated examples, even the smooth Calabi-Yau base manifolds can be topologically distinct. These latter examples extend and clarify a previous observation which was limited to singular Calabi-Yau spaces and seem to indicate a multicritical structure in moduli space. This should have a natural F-theory counterpart in terms of the moduli space of Calabi-Yau four-folds.

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