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

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

1998-08-07

arxiv.org/abs/hep-th/9808039v1

Phys.Rev.Lett. 81 (1998) 5072-5075

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, no figures

Scientific paper

10.1103/PhysRevLett.81.5072

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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