Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-06-10
Phys.Lett. B545 (2002) 425-429
Physics
High Energy Physics
High Energy Physics - Theory
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.
Santambrogio Alberto
Zanon Daniela
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