Operator Mixing and the BMN Correspondence
High Energy Physics - Theory
2009-11-07 v2
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 \lambda'. 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.
Cite
@article{arxiv.hep-th/0209002,
title = {Operator Mixing and the BMN Correspondence},
author = {Neil R. Constable and Daniel Z. Freedman and Matthew Headrick and Shiraz Minwalla},
journal= {arXiv preprint arXiv:hep-th/0209002},
year = {2009}
}
Comments
18pp. Harvmac. v2: Explanation of degeneracy added to end of section 2, minor corrections