Complex/Symplectic Mirrors

Abstract

We construct a class of symplectic non--Kaehler and complex non--Kaehler string theory vacua, extending and providing evidence for an earlier suggestion by Polchinski and Strominger. The class admits a mirror pairing by construction. Comparing hints from a variety of sources, including ten--dimensional supergravity and KK reduction on SU(3)--structure manifolds, suggests a picture in which string theory extends Reid's fantasy to connect classes of both complex non-Kaehler and symplectic non-Kaehler manifolds.

30 pages, 1 figure

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Cited by in corpus (13)

• A scan for new N=1 vacua on twisted tori
• SU(3) x SU(3) compactification and mirror duals of magnetic fluxes
• Generalized N=1 Orientifold Compactifications and the Hitchin functionals
• RR photons
• Reformulating Supersymmetry with a Generalized Dolbeault Operator
• D-branes in Nongeometric Backgrounds
• Conifolds and Geometric Transitions
• Reducing democratic type II supergravity on SU(3) x SU(3) structures
• Heterotic-type IIA duality with fluxes
• Deforming, revolving and resolving - New paths in the string theory landscape
• Geometric Transitions on non-Kaehler Manifolds
• Flux-induced isometry gauging in heterotic strings
• Dimensional Reductions of DFT and Mirror Symmetry for Calabi-Yau Three-folds and $K3\times T^2$