A remark on the AdS/CFT correspondence and the renormalization group flow

Details A remark on the AdS/CFT correspondence and the renormalization group flow A remark on the AdS/CFT correspondence and the renormalization group flow

1998-06-26

arxiv.org/abs/hep-th/9806217v3

Phys.Lett.B442:152-158,1998

Physics

High Energy Physics

High Energy Physics - Theory

8pp., Latex. Final vershion, to be published in PLB

Scientific paper

10.1016/S0370-2693(98)01270-2

The correspondence between the four-dimensional SU(N), $\cN = 4$ SYM taken at large $N$ and the type II B SUGRA on the $AdS_5\times S_5$ background is considered. We argue that the classical equations of motion in the SUGRA picture can be interpreted as that of the renormalization group on the SYM side. In fact, when the D3-brane is slightly excited higher derivative terms in the field theory on its world-volume deform it form the conformal $\cN = 4$ SYM limit. We give arguments in favor of that the deformation goes in the way set by the SUGRA equations of motion. Concrete example of the s-wave dilaton is considered.

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