(4, 4) supersymmetric Poisson?Lie T duality

A description, based on the notion of the super Drinfeld double, of non-Abelian duality for the (4, 4) supersymmetric sigma model is given. We show that this model has non-Abelian supercurrents that obey non-commutative conservation laws. The explicit formulae of general solutions to Poisson–Lie T duality with and without spectator superfields are given. The classical canonical equivalence to worldsheet (4, 4) supersymmetric sigma models related by Poisson–Lie T duality is explicitly formulated.