BMN Correlators by Loop Equations

Abstract

In the BMN approach to N=4 SYM a large class of correlators of interest are expressible in terms of expectation values of traces of words in a zero-dimensional Gaussian complex matrix model. We develop a loop-equation based, analytic strategy for evaluating such expectation values to any order in the genus expansion. We reproduce the expectation values which were needed for the calculation of the one-loop, genus one correction to the anomalous dimension of BMN-operators and which were earlier obtained by combinatorial means. Furthermore, we present the expectation values needed for the calculation of the one-loop, genus two correction.

22 pages, 10 figures

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Cited by in corpus (17)

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• Stringing Spins and Spinning Strings
• BMN Gauge Theory as a Quantum Mechanical System
• Characteristic Polynomials of Complex Random Matrix Models
• Lectures on the Plane-Wave String/Gauge Theory Duality
• Large N expansion of the 2-matrix model
• BMN Operators and Superconformal Symmetry
• Tracing the String: BMN correspondence at Finite J^2/N
• Strings in plane wave backgrounds
• An alternative formulation of light-cone string field theory on the plane wave
• Note on Plane Wave Quantum Mechanics
• Supersymmetric D3 brane and N=4 SYM actions in plane wave backgrounds
• Mixed Correlation Functions of the Two-Matrix Model
• AdS/CFT v.s. String Loops
• Schwinger-Dyson and loop equations for a product of square Ginibre random matrices
• Correlation Functions of Complex Matrix Models