BMN Correlators by Loop Equations

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Published 21 October 2002 Published under licence by IOP Publishing Ltd
, , Citation Bertrand Eynard and Charlotte Kristjansen JHEP10(2002)027 DOI 10.1088/1126-6708/2002/10/027

1126-6708/2002/10/027

Abstract

In the BMN approach to Script 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.

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10.1088/1126-6708/2002/10/027