Communications in Mathematical Physics

, Volume 254, Issue 2, pp 401–423 | Cite as

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

  • Stéphane Fidanza
  • Ruben Minasian
  • Alessandro Tomasiello


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 (e iJ 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.


Manifold String Theory Mirror Symmetry General Class Covariant Derivative 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Stéphane Fidanza
    • 1
  • Ruben Minasian
    • 1
  • Alessandro Tomasiello
    • 1
  1. 1.Centre de Physique ThéoriqueEcole Polytechnique, Unité mixte du CNRS et de l’EP, UMR 7644Palaiseau CedexFrance

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