T-duality covariance of SuperD-branes Original Research Article

T-duality realized on SuperD-brane effective actions probing in constant Gmn and bmn backgrounds is studied from a pure world volume point of view. It is proved that requiring T-duality covariance of such actions “fixes” the T-duality transformations of the world volume dynamical fields, and consequently, of the NS–NS and R–R coupling superfields. The analysis is extended to uncover the mapping of the symmetry structure associated with these SuperD-brane actions. In particular, we determine the T-duality transformation properties of kappa symmetry and supersymmetry, which allow us to prove that bosonic supersymmetric world volume solitons of the original theory generate, through T-duality, the expected ones in the T-dual theory. The latter proof is generalized to arbitrary bosonic backgrounds. We conclude with some comments on extensions of our approach to arbitrary kappa symmetric backgrounds, non-BPS D-branes and non-abelian SuperD-branes.