Mirror symmetry & supersymmetry on SU(4)-structure backgrounds

Abstract

We revisit the backgrounds of type IIB on manifolds with $SU(4)$-structure and discuss two sets of solutions arising from internal geometries that are complex and symplectic respectively. Both can be realized in terms of generalized complex geometry. We identify a map which relates the complex and symplectic supersymmetric systems. In the semi-flat torus bundle setting this map corresponds to T-duality and suggest a way of extending the mirror transform to non-Kähler geometries.

40 pages

References in corpus (6)

• T-duality for principal torus bundles
• Reformulating Supersymmetry with a Generalized Dolbeault Operator
• Generalized geometry, calibrations and supersymmetry in diverse dimensions
• M-theory on Calabi-Yau Five-Folds
• Towards mirror symmetry à la SYZ for generalized Calabi-Yau manifolds
• Generalized complex geometry of pure backgrounds in ten and eleven dimensions

Cited by in corpus (2)

• Higher dimensional generalizations of twistor spaces
• $T^4$ fibrations over Calabi-Yau two-folds and non-Kahler manifolds in string theory