T-duality and generalized Kähler geometry

We use the new N = (2, 2) vector multiplets to clarify T-dualities for generalized Kähler geometries. Following the usual procedure, we gauge isometries of nonlinear σ-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.