T-duality and Generalized Kahler Geometry

Abstract

We use newly discovered N = (2, 2) vector multiplets to clarify T-dualities for generalized Kahler geometries. Following the usual procedure, we gauge isometries of nonlinear sigma-models and introduce Lagrange multipliers that constrain the field-strengths of the gauge fields to vanish. Integrating out the Lagrange multipliers leads to the original action, whereas integrating out the vector multiplets gives the dual action. The description is given both in N = (2, 2) and N = (1, 1) superspace.

14 pages; published version: some conventions improved, minor clarifications

References in corpus (31)

• Duality, Quotients, and Currents
• Reduction of Courant algebroids and generalized complex structures
• Hitchin Functionals in N=2 Supergravity
• Instantons, Poisson structures and generalized Kaehler geometry
• Heterotic String Theory on non-Kaehler Manifolds with H-Flux and Gaugino Condensate
• Stable D-branes, calibrations and generalized Calabi-Yau geometry
• Generalized complex manifolds and supersymmetry
• Generalized Kahler manifolds and off-shell supersymmetry
• Complex Structures, Duality, and WZW-Models in Extended Superspace
• New aspects of the ddc-lemma
• Topological sigma-models with H-flux and twisted generalized complex manifolds
• Generalized N=(2,2) Supersymmetric Non-Linear Sigma Models
• Hamiltonian perspective on generalized complex structure
• A sigma model field theoretic realization of Hitchin's generalized complex geometry
• Lectures on Generalized Complex Geometry and Supersymmetry
• Poisson geometry of sigma models with extended supersymmetry
• Hamiltonian symmetries and reduction in generalized geometry
• Mirror symmetry for topological sigma models with generalized Kahler geometry
• Properties of Semi-Chiral Superfields
• Some Aspects of N=(2,2), D=2 Supersymmetry
• On Deformations of Generalized Complex Structures: the Generalized Calabi-Yau Case
• Generalized complex geometry and the Poisson Sigma Model
• The biHermitian topological sigma model
• A topological sigma model of biKaehler geometry
• New N = (2, 2) vector multiplets
• First-order supersymmetric sigma models and target space geometry
• Linearizing Generalized Kahler Geometry
• D=2 N=(2,2) Semi Chiral Vector Multiplet
• Supersymmetric WZ-Poisson sigma model and twisted generalized complex geometry
• Reduction of twisted generalized Kähler structure
• BiHermitian Supersymmetric Quantum Mechanics

Cited by in corpus (17)

• Wall-Crossing in Coupled 2d-4d Systems
• The generalized Kaehler geometry of N=(2,2) WZW-models
• Nonabelian Generalized Gauge Multiplets
• Semichiral Fields on S^2 and Generalized Kähler Geometry
• The Large Vector Multiplet Action
• An N=2 worldsheet approach to D-branes in bihermitian geometries: II. The general case
• The Semi-Chiral Quotient, Hyperkahler Manifolds and T-duality
• The world-sheet description of A and B branes revisited
• Extended supersymmetry of semichiral sigma model in 4D
• Topological A-Type Models with Flux
• Off-shell N=(4,4) supersymmetry for new (2,2) vector multiplets
• On gauged linear sigma models with torsion
• T-Duality in $(2,1)$ Superspace
• Generalized Kahler structures on group manifolds and T-duality
• Supersymmetric Sigma Model geometry
• Semichirals and Four Dimensional Geometry
• T-duality with $H$-flux for $2d$ $\sigma$-models