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Mirror symmetry and the type II string. (English) Zbl 0957.81596
Summary: If \(X\) and \(Y\) are a mirror pair of Calabi-Yau threefolds, mirror symmetry should extend to an isomorphism between the type IIA string theory compactified on \(X\) and the type IIB string theory compactified on \(Y\), with all nonperturbative effects included. We study the implications which this proposal has for the structure of the semiclassical moduli spaces of the compactified type II theories. For the type IIB theory, the form taken by discrete shifts in the Ramond-Ramond scalars exhibits an unexpected dependence on the \(B\)-field.

MSC:
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
14J32 Calabi-Yau manifolds (algebro-geometric aspects)
14K30 Picard schemes, higher Jacobians
32G81 Applications of deformations of analytic structures to the sciences
32J81 Applications of compact analytic spaces to the sciences
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