\({N=(4,4)}\) supersymmetry and T-duality (Q350630)

Summary: A sigma model with four-dimensional target space parametrized by chiral and twisted chiral \(N=(2,2)\) superfields can be extended to \(N=(4,4)\) supersymmetry off-shell, but this is not true for a model of semichiral fields, where the \(N=(4,4)\) supersymmetry can only be realized on-shell. The two models can be related to each other by T-duality. In this paper we perform a duality transformation from a chiral and twisted chiral model with off-shell \(N=(4,4)\) supersymmetry to a semichiral model. We find that additional non-linear terms must be added to the original transformations to obtain a semichiral model with \(N=(4,4)\) supersymmetry, and that the algebra closes on-shell as a direct consequence of the T-duality.