Topological mirror symmetry with fluxes

Details Topological mirror symmetry with fluxes Topological mirror symmetry with fluxes

2005-02-17

arxiv.org/abs/hep-th/0502148v1

JHEP 0506 (2005) 067

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, 5 figures

Scientific paper

10.1088/1126-6708/2005/06/067

Motivated by SU(3) structure compactifications, we show explicitly how to construct half--flat topological mirrors to Calabi--Yau manifolds with NS fluxes. Units of flux are exchanged with torsion factors in the cohomology of the mirror; this is the topological complement of previous differential--geometric mirror rules. The construction modifies explicit SYZ fibrations for compact Calabi--Yaus. The results are of independent interest for SU(3) compactifications. For example one can exhibit explicitly which massive forms should be used for Kaluza--Klein reduction, proving previous conjectures. Formality shows that these forms carry no topological information; this is also confirmed by infrared limits and old classification theorems.

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