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Topological mirror symmetry with fluxes
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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.
Forward citations
Cited by 3 Pith papers
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$\mathcal{SW}$-algebras and strings with torsion
For G2 and SU(3) string backgrounds with NS flux, the scalar torsion class controls the first-order deformation of the worldsheet super W-algebra couplings away from special holonomy.
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A Landscape of AdS Flux Vacua
A bilinear flux-axion polynomial technique yields new branches of type IIA Calabi-Yau flux vacua, including a tachyon-free non-supersymmetric AdS branch.
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Exploring String Theory Solutions: Black hole thermodynamics with $\alpha'$ corrections and type II compactifications
A doctoral thesis restating published results on α'-corrected black holes in heterotic string theory and on type II flux compactifications, with no new standalone results.
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