T-duality on Almost Hermitian Spaces

Abstract

We investigate T-duality transformation on an almost bi-hermitian space with torsion. By virtue of the Buscher rule, we completely describe not only the covariant derivative of geometrical objects but also the Nijenhuis tensor. We apply this description to an almost bi-hermitian space with isometry and investigate integrability on its T-dualized one. We find that hermiticity is not a sufficient condition to preserve integrability under T-duality transformations. However, in the presence of the Kähler condition, the T-dualized space still admits integrability of the almost complex structures. We also observe that the form of H-flux is suitable for string compactification scenarios.

34 pages, references added

References in corpus (20)

• Double Field Theory
• NS5-Branes, T-Duality and Worldsheet Instantons
• Stringy differential geometry, beyond Riemann
• Global Aspects of T-Duality, Gauged Sigma Models and T-Folds
• On the Riemann Tensor in Double Field Theory
• Exotic Branes in String Theory
• On the Topology and Flux of T-Dual Manifolds
• Worldsheet Instanton Corrections to the Kaluza-Klein Monopole
• Generalized Calabi-Yau manifolds
• Gauged Linear Sigma Model for Exotic Five-brane
• On AdS_4 x CP^3 T-duality
• Linear Sigma Models of H and KK Monopoles
• Comments on Heterotic Flux Compactifications
• Defect (p,q) Five-branes
• Sigma models with off-shell N=(4,4) supersymmetry and noncommuting complex structures
• Semi-doubled Sigma Models for Five-branes
• Hyperkähler, Bi-hypercomplex, Generalized Hyperkähler Structures and T-duality
• Complex Structures, T-duality and Worldsheet Instantons in Born Sigma Models
• Yano F structures and extended Supersymmetry
• On Geometries and Monodromies for Branes of Codimension Two