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

Abstract

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.

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

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Cited by in corpus (6)

• Divergence Cancellation and Loop Corrections in String Field Theory on a Plane Wave Background
• Non-perturbative contributions to the plane-wave string mass matrix
• AdS/CFT v.s. String Loops
• Mixing of the RR and NSNS sectors in the BMN limit
• Non-Perturbative Contributions in the Plane-Wave/BMN Limit
• The AdS/CFT Correspondence: Classical, Quantum, and Thermodynamical Aspects