Complex/Symplectic Mirrors

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.