T-duality for open strings in the presence of backgrounds and noncommutativity

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We investigate the effect of T-duality on noncommutativity. Starting with open strings ending on a D2-brane wrapped on a T² torus in the presence of a Kalb Ramond field, we consider Buscher transformations on the coordinates and background. We find that the dual system is commutative. We also study alternative transformations that can preserve noncommutativity.