Complex/Symplectic Mirrors

Details Complex/Symplectic Mirrors Complex/Symplectic Mirrors

2005-10-05

arxiv.org/abs/hep-th/0510042v1

Commun.Math.Phys.274:775-794,2007

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 1 figure

Scientific paper

10.1007/s00220-007-0262-y

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.

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