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ID: 3350.0, MPI für Gravitationsphysik / Quantum Gravity and Unified Theories
Perturbative and instanton corrections to the OPE of CPOs in N=4 SYM_4
Authors:Arutyunov, Gleb; Frolov, Sergey; Petkou, Anastasios C.
Language:English
Date of Publication (YYYY-MM-DD):2001
Title of Journal:Nucluar Physics B
Volume:602
Start Page:238
End Page:260
Review Status:Peer-review
Audience:Not Specified
Abstract / Description:We study perturbative and instanton corrections to the Operator Product Expansion of the lowest weight Chiral Primary Operators of N=4 SYM_4. We confirm the recently observed non-renormalization of various operators (notably of the double-trace operator with dimension 4 in the 20 irrep of SU(4)), that appear to be unprotected by unitarity restrictions. We demonstrate the splitting of the free-field theory stress tensor and R-symmetry current in supermultiplets acquiring different anomalous dimensions in perturbation theory and argue that certain double-trace operators also undergo a perturbative splitting into operators dual to string and two-particle gravity states respectively. The instanton contributions affect only those double-trace operators that acquire finite anomalous dimensions at strong coupling. For the leading operators of this kind, we show that the ratio of their anomalous dimensions at strong coupling to the anomalous dimensions due to instantons is the same number.
External Publication Status:published
Document Type:Article
Communicated by:Hermann Nicolai
Affiliations:MPI für Gravitationsphysik/Quantum Gravity and Unified Theories
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