Operator Mixing and the BMN Correspondence
arXiv:hep-th/0209002 · doi:10.1088/1126-6708/2002/10/068
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.
18pp. Harvmac. v2: Explanation of degeneracy added to end of section 2, minor corrections