Holographie noncommutativity

We examine noncommutative Yang-Mills and open string theories using magnetically and electrically deformed supergravity duals. The duals are near horizon regions of Dp-brane bound state solutions which are obtained by using O(p + l,p+l) transformations of Dp-branes. The action of the T-duality group implies that the noncommutativity parameter is constant along holographic RG-flows. The moduli of the noncommutative theory, i.e. the open string metric and coupling constant, as well as the zero-force condition are shown to be invariant under the O(p + l,p+ 1) transformation, i.e. deformation independent. We find sufficient conditions, including zero force and constant dilaton in the ISO(3, l)-invariant D3-brane solution, for exact S-duality between noncommutative Yang-Mills and open string theories. These results are used to construct noncommutative field and string theories with A/ = 1 supersymmetry from the T11) and Pilch-Warner solutions. The latter has a non-trivial zero-force condition due to the warping.