Non-protected operators in \(N=4\) SYM and multiparticle states of \(\text{AdS}_5\) SUGRA
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Publication:700858
DOI10.1016/S0550-3213(02)00679-XzbMATH Open0998.81054arXivhep-th/0206020OpenAlexW1535797311MaRDI QIDQ700858
Author name not available (Why is that?)
Publication date: 9 October 2002
Published in: (Search for Journal in Brave)
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 {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.
Full work available at URL: https://arxiv.org/abs/hep-th/0206020
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