Operator mixing and the BMN correspondence

By N. Constable, D. Freedman, M. Headrick, Shiraz Minwalla. 2002

157 citations recorded by the source corpus.

In this note we update the discussion of the BMN correspondence and string interactions in [4] 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 g22λ'. Operators in different R symmetry multiplets remain degenerate at this order; we propose this is a consequence of supersymmetry. 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/949b5d194342d383c6249abf65a5a6e390452814

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. M. Staudacher
2. N. Beisert
3. C. Kristjansen
4. N. Gromov
5. P. Vieira
6. J. Escobedo
7. A. Volovich
8. A. Sever

In Nuclear and High Energy Physics

1. N. Beisert
2. P. Vieira
3. A. Sever
4. M. Staudacher
5. K. Zarembo
6. A. Tseytlin
7. C. Kristjansen
8. S. Frolov

Citations in the corpus

• Tailoring three-point functions and integrability (2010, background): “[8, 9] and [10] for a discussion of the importance of this point.”
• The dilatation operator of conformal N=4 super-Yang–Mills theory (2003, background): “It can be shown that at order g2 matrix elements between single trace states and double trace states vanish [25,26].”
• The N=4 SYM Integrable Super Spin Chain (2003, methodology): “In particular, in [16, 17, 18, 19] effective vertex techniques were developed in order to efficiently calculate one-loop two-point functions of operators composed of an arbitrary numbers of scalars.”
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability (2004, methodology): “This is yet another confirmation of the AdS/CFT correspondence, but for the first time within an interacting string theory! In the study of the BMN correspondence, the attention has been shifted away from lower dimensional operators to operators with a large number of constituent fields [18,19, 21,2”
• The Complete One-Loop Dilatation Operator of N=4 Super Yang-Mills Theory (2003, background): “With the advent of the BMN correspondence [5] the attention has been shifted away from lower dimensional operators to operators with a large number of fields [31, 32, 33, 34, 35].”
• Superstring interactions in a pp -wave background (2002, background): “single- (double-, etc.) string states and single- (double-, etc.) trace BMN operators gets corrected [ 18-20 ].”