Super Poisson–Lie symmetry of the image WZNW model and worldsheet boundary conditions Original Research Article

We show that the WZNW model on the Lie supergroup image has super Poisson–Lie symmetry with the dual Lie supergroup image. Then, we discuss about D-branes and worldsheet boundary conditions on supermanifolds, in general, and obtain the algebraic relations on the gluing supermatrix for the Lie supergroup case. Finally, using the supercanonical transformation description of the super Poisson–Lie T-duality transformation, we obtain formulae for the description of the dual gluing supermatrix, then, we find the gluing supermatrix for the WZNW model on image and its dual model. We also discuss about different boundary conditions.