Non-perturbative effects in the BMN limit of N=4 supersymmetric Yang-Mills

Details Non-perturbative effects in the BMN limit of N=4 supersymmetric Yang-Mills Non-perturbative effects in the BMN limit of N=4 supersymmetric Yang-Mills

2005-06-24

arxiv.org/abs/hep-th/0506200v2

JHEP 0512 (2005) 038

Physics

High Energy Physics

High Energy Physics - Theory

52 pages, no figures, latex; V2: minor changes

Scientific paper

10.1088/1126-6708/2005/12/038

One-instanton contributions to the correlation functions of two gauge-invariant single-trace operators in N=4 SU(N) Yang-Mills theory are studied in semi-classical approximation in the BMN limit. The most straightforward examples involve operators with four bosonic impurities. The explicit form for the correlation functions, which determine the anomalous dimensions, follows after integration over the large number of bosonic and fermionic moduli. Our results demonstrate that the instanton contributions scale appropriately in the BMN limit. We find impressive agreement with the D-instanton contributions to mass matrix elements of the dual plane-wave IIB superstring theory, obtained in a previous paper. Not only does the dependence on the scaled coupling constants match, but the dependence on the mode numbers of the states is also in striking agreement.

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