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 \Omega) 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.

Fidanza, S., Minasian, R., Tomasiello, A. (2005). Mirror symmetric SU(3) structure manifolds with NS fluxes. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 254(2), 401-423 [10.1007/s00220-004-1221-5].

Mirror symmetric SU(3) structure manifolds with NS fluxes

TOMASIELLO, ALESSANDRO
2005

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 (e^{iJ} and \Omega) 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.
Articolo in rivista - Articolo scientifico
String theory; Mirror symmetry
English
2005
254
2
401
423
none
Fidanza, S., Minasian, R., Tomasiello, A. (2005). Mirror symmetric SU(3) structure manifolds with NS fluxes. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 254(2), 401-423 [10.1007/s00220-004-1221-5].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/27642
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