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

Abstract

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.

8 pages, no figures

References in corpus (4)

• Entropy and Temperature of Black 3-Branes
• String Theory and Classical Absorption by Threebranes
• World Volume Approach to Absorption by Non-dilatonic Branes
• Higher Order Graviton Scattering in M(atrix) Theory

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