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

Abstract

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.

31 pages, Latex

References in corpus (3)

• Calabi-Yau fourfolds for M- and F-Theory compactifications
• The web of Calabi-Yau hypersurfaces in toric varieties
• F theory Vacua in Four Dimensions and Toric Threefolds

Cited by in corpus (5)

• Geometric constraints in dual F-theory and heterotic string compactifications
• Duality in Heterotic Vacua With Four Supercharges
• Landau-Ginzburg Vacua of String, M- and F-Theory at c=12
• Divisors on elliptic Calabi-Yau 4-folds and the superpotential in F-theory, I
• Deformations, Moduli Stabilisation and Gauge Couplings at One-Loop