Mirror symmetric SU(3)-structure manifolds with NS fluxes

Details Mirror symmetric SU(3)-structure manifolds with NS fluxes Mirror symmetric SU(3)-structure manifolds with NS fluxes

2003-11-14

arxiv.org/abs/hep-th/0311122v1

Commun.Math.Phys. 254 (2005) 401-423

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, LaTeX

Scientific paper

10.1007/s00220-004-1221-5

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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