Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 254, Issue 2, Pages 401-423Publisher
SPRINGER
DOI: 10.1007/s00220-004-1221-5
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When string theory is compactified on a six-dimensional manifold with a nontrivial NS flux turned on, mirror symmetry exchanges the flux with a purely geometrical composite NS form associated with lack of integrability of the complex structure on the mirror side. Considering a general class of T-3-fibered geometries admitting SU(3) structure, we find an exchange of pure spinors(e(ij) and Omega) in dual geometries under fiberwise T-duality, and study the transformations of the NS flux and the components of intrinsic torsion. A complementary study of action of twisted covariant derivatives on invariant spinors allows to extend our results to generic geometries and formulate a proposal for mirror symmetry in compactifications with NS flux.
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