Dualities and phase transitions for Calabi-Yau 3folds and 4folds

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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31 pages, Latex

Scientific paper

10.1016/S0920-5632(97)00317-4

We review several aspects of heterotic, type II, F-theory, and M-theory compactifications on Calabi-Yau threefolds and fourfolds. In the context of dualities we focus on the heterotic gauge structure determined by the various types of fibration relevant in the framework of heterotic/type II duality in D=4 as well as 4D F-theory. We also consider transitions between Calabi-Yau manifolds in both three and four dimensions and review some of the consequences for the behavior of the superpotential.

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