(4,0) supersymmetric sigma-model and T -duality

The conserved supercurrents and are deduced for the (4,0) supersymmetric sigma-model on harmonic superspace with arbitrary background gauge connection. These are introduced in the Lagrangian density of the model by their couplings to the analytic gauge superfields and . The T-duality transformations are obtained by integrating out the analytic gauge superfields. Finally, the (4,0) supersymmetric anomaly is derived.