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 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 N = I 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. (C) 2002 Elsevier Science B.V. All rights reserved.

Arutyunov, G., Penati, S., Petkou, A., Santambrogio, A., Sokatchev, E. (2002). Non-protected operators in N = 4 SYM and multiparticle states of AdS5 SUGRA. NUCLEAR PHYSICS. B, 643(1-3), 49-78 [10.1016/S0550-3213(02)00679-X].

Non-protected operators in N = 4 SYM and multiparticle states of AdS5 SUGRA

PENATI, SILVIA;
2002

Abstract

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 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 N = I 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. (C) 2002 Elsevier Science B.V. All rights reserved.
Articolo in rivista - Articolo scientifico
AdS/CFT; SYM theory; anomalous dimensions; multiparticles; superspace
English
4-nov-2002
643
1-3
49
78
none
Arutyunov, G., Penati, S., Petkou, A., Santambrogio, A., Sokatchev, E. (2002). Non-protected operators in N = 4 SYM and multiparticle states of AdS5 SUGRA. NUCLEAR PHYSICS. B, 643(1-3), 49-78 [10.1016/S0550-3213(02)00679-X].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/3282
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