Holographic Noncommutativity

David S. Berman; Vanicson L. Campos; Martin Cederwall; Ulf Gran; Henric Larsson; Mikkel Nielsen; Bengt E. W. Nilsson; Per Sundell

doi:10.1088/1126-6708/2001/05/002

arXiv · hep-th/0011282

Holographic Noncommutativity

David S. Berman·Vanicson L. Campos·Martin Cederwall·Ulf Gran·Henric Larsson·Mikkel Nielsen·Bengt E. W. Nilsson·Per Sundell

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Abstract

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+1,p+1) 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+1,p+1) transformation, i.e., deformation independent. We find sufficient conditions, including zero force and constant dilaton in the ISO(3,1)-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 N=1 supersymmetry from the T^(1,1) and Pilch-Warner solutions. The latter has a non-trivial zero-force condition due to the warping.

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David S. Berman, Vanicson L. Campos, Martin Cederwall, Ulf Gran, Henric Larsson, Mikkel Nielsen, Bengt E. W. Nilsson, Per Sundell. 2001-05-16. Holographic Noncommutativity. https://doi.org/10.1088/1126-6708%2F2001%2F05%2F002

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