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Operator Mixing and the BMN Correspondence

Neil R. Constable·Daniel Z. Freedman·Matthew Headrick·Shiraz Minwalla
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Abstract

In this note we update the discussion of the BMN correspondence and string interactions in hep-th/0205089 to incorporate the effects of operator mixing. We diagonalize the matrix of two point functions of single and double trace operators, and compute the eigen-operators and their anomalous dimensions to order g_2^2 λ'. Surprisingly, operators in different R symmetry multiplets remain degenerate at this order. We also calculate the corresponding energy shifts in string theory, and find a discrepancy with field theory results, indicating possible new effects in light-cone string field theory.

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Neil R. Constable, Daniel Z. Freedman, Matthew Headrick, Shiraz Minwalla. 2002-10-08. Operator Mixing and the BMN Correspondence. https://doi.org/10.1088/1126-6708%2F2002%2F10%2F068

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