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Mirror Symmetric SU(3)-Structure Manifolds with NS Fluxes

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Abstract

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 T3-fibered geometries admitting SU(3) structure, we find an exchange of pure spinors (eiJ and Ω) 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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Authors and Affiliations

  1. Centre de Physique Théorique, Ecole Polytechnique, Unité mixte du CNRS et de l’EP, UMR 7644, 91128, Palaiseau Cedex, France

    Stéphane Fidanza, Ruben Minasian & Alessandro Tomasiello

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  1. Stéphane Fidanza
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  2. Ruben Minasian
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  3. Alessandro Tomasiello
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Communicated by N.A. Nekrasov

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Fidanza, S., Minasian, R. & Tomasiello, A. Mirror Symmetric SU(3)-Structure Manifolds with NS Fluxes. Commun. Math. Phys. 254, 401–423 (2005). https://doi.org/10.1007/s00220-004-1221-5

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  • DOI: https://doi.org/10.1007/s00220-004-1221-5

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