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      Holography and Noncommutative Yang-Mills

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          Abstract

          In this note a lately proposed gravity dual of noncommutative Yang-Mills theory is derived from the relations, recently suggested by Seiberg and Witten, between closed string moduli and open string moduli. The only new input one needs is a simple form of the running string tension as a function of energy. This derivation provides convincing evidence that string theory integrates with the holographical principle, and demonstrates a direct link between noncommutative Yang-Mills theory and holography.

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          Quantum Metamorphosis of Conformal Transformation in D3-Brane Yang-Mills Theory

          We show how the linear special conformal transformation in four-dimensional N=4 super Yang-Mills theory is metamorphosed into the nonlinear and field-dependent transformation for the collective coordinates of Dirichlet 3-branes, which agrees with the transformation law for the space-time coordinates in the anti-de Sitter (AdS) space-time. Our result provides a new and strong support for the conjectured relation between AdS supergravity and super conformal Yang-Mills theory (SYM). Furthermore, our work sheds elucidating light on the nature of the AdS/SYM correspondence.
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            Author and article information

            Journal
            13 September 1999
            1999-10-12
            Article
            10.1103/PhysRevLett.84.2084
            hep-th/9909085
            dd1f2205-17f2-498e-b2aa-afad40e61372
            History
            Custom metadata
            UU-HEP/99-04
            Phys.Rev.Lett. 84 (2000) 2084-2087
            9 pages, harvmac. Ref. hep-th/9612222 added. To our knowledge this is the first occasion where NCSYM appears in string theory
            hep-th

            High energy & Particle physics
            High energy & Particle physics

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