Exact anomalous dimensions of {\cal N}=4 Yang-Mills operators with large R charge

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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6 pages, LaTex; v2: minor changes

Scientific paper

10.1016/S0370-2693(02)02627-8

In a {\cal N}=1 superspace formulation of {\cal N}=4 Yang-Mills theory we obtain the anomalous dimensions of chiral operators with large R charge J \to \infty keeping g^2 N/J^2 finite, to all orders of perturbation theory in the planar limit. Our result proves the conjecture that the anomalous dimensions are indeed finite in the above limit. This amounts to an exact check of the proposed duality between a sector of {\cal N}=4 Yang-Mills theory with large R charge J and string theory in a pp-wave background.

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