Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-06-04
Nucl.Phys. B643 (2002) 49-78
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 32 pages, 5 figures
Scientific paper
10.1016/S0550-3213(02)00679-X
We study a class of non-protected local composite operators which occur in the R symmetry singlet channel of the OPE of two stress-tensor multiplets in {\cal N}=4 SYM. At tree level these are quadrilinear scalar dimension four operators, two single-traces and two double-traces. In the presence of interaction, due to a non-trivial mixing under renormalization, they split into linear combinations of conformally covariant operators. We resolve the mixing by computing the one-loop two-point functions of all the operators in an {\cal N}=1 setup, then diagonalizing the anomalous dimension matrix and identifying the quasiprimary operators. We find one operator whose anomalous dimension is negative and suppressed by a factor of 1/N^2 with respect to the anomalous dimensions of the Konishi-like operators. We reveal the mechanism responsible for this suppression and argue that it works at every order in perturbation theory. In the context of the AdS/CFT correspondence such an operator should be dual to a multiparticle supergravity state whose energy is less than the sum of the corresponding individual single-particle states.
Arutyunov Gleb
Penati Silvia
Petkou Anastasios C.
Santambrogio Alberto
Sokatchev Emery
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