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


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Article Info

DATE

2005-03

AUTHORS

Stéphane Fidanza, Ruben Minasian, Alessandro Tomasiello

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. More... »

PAGES

401-423

References to SciGraph publications

  • 2003-07-02. Supersymmetric M-theory compactifications with fluxes on seven-manifolds and G-structures in JOURNAL OF HIGH ENERGY PHYSICS
  • 2003-02. Vertex Algebras, Mirror Symmetry, and D-Branes: The Case of Complex Tori in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2004-08. T-Duality: Topology Change from H-Flux in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2004-05. G-Structures and Wrapped NS5-Branes in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/s00220-004-1221-5

    DOI

    http://dx.doi.org/10.1007/s00220-004-1221-5

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