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  Non-protected operators in N=4 SYM and multi-particle states of AdS_5 SUGRA

Arutyunov, G., Penati, S., Petkou, A. C., Santambrogio, A., & Sokatchev, E. (2002). Non-protected operators in N=4 SYM and multi-particle states of AdS_5 SUGRA. Nuclear Physics B, 643(1-3), 49-78.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-5383-0 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-5384-E
Genre: Journal Article

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Arutyunov, Gleb1, Author
Penati, S., Author
Petkou, Anastasios C., Author
Santambrogio, A., Author
Sokatchev, E., Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: We study a class of non-protected local composite operators which emerge in the $SU(4)$-singlet channel of the OPE between two lowest dimension CPOs in ${cal N}=4$ SYM. These are quadrilinear operators which, in the free field limit, appear as double--trace color structures. When the interaction is turned on, a nontrivial mixing under renormalization occurs and they split in general into linear combinations of proper conformally invariant states which may involve both single and double traces. In a ${cal N}=1$ superspace setup we solve the mixing problem by computing the one-loop two point functions of all dimension 4 scalar operators, diagonalizing their anomalous dimension matrix and identifying the proper quasiprimary operators. We find one operator whose anomalous dimension is negative and suppressed by $1/N^2$ with respect to the anomalous dimensions of the Konishi--like operators. We identify the mechanism underlying such a suppression and give an argument to prove its occurrence at every order in perturbation theory. We discuss our results in connection with the AdS/CFT correspondence which requires such operators to be dual to multi-particle supergravity states whose energy is less than the sum of the corresponding individual single-particle states

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Language(s): eng - English
 Dates: 2002-11-04
 Publication Status: Issued
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 Identifiers: eDoc: 3079
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Title: Nuclear Physics B
Source Genre: Journal
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Pages: - Volume / Issue: 643 (1-3) Sequence Number: - Start / End Page: 49 - 78 Identifier: -