Mirror Symmetry and the Type II String

Abstract

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. (Based on a talk at the Trieste Workshop on S-Duality and Mirror Symmetry.)

8 pages, LaTeX using espcrc2.sty

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• Massless Black Holes and Conifolds in String Theory
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• Compactification of D=11 supergravity on spaces of exceptional holonomy
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Cited by in corpus (15)

• D-Branes on Calabi-Yau Spaces and Their Mirrors
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• Supersymmetric Cycles in Exceptional Holonomy Manifolds and Calabi-Yau 4-Folds
• Non-Perturbative Superpotentials in F-theory and String Duality
• Twistor Approach to String Compactifications: a Review
• Fivebrane instantons, topological wave functions and hypermultiplet moduli spaces
• The web of Calabi-Yau hypersurfaces in toric varieties
• Collapsing D-Branes in Calabi-Yau Moduli Space: I
• Mirror Symmetry for $G_2$-Manifolds: Twisted Connected Sums and Dual Tops
• On the topology of the hypermultiplet moduli space in type II/CY string vacua
• Some remarks on defects and T-duality
• Arithmetic and Hyperbolic Structures in String Theory
• Membrane instantons from mirror symmetry
• Collapsing D-branes in one-parameter models and small/large radius duality
• Finding the Mirror of the Beauville Manifold