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  Perturbative and instanton corrections to the OPE of CPOs in N=4 SYM_4

Arutyunov, G., Frolov, S., & Petkou, A. C. (2001). Perturbative and instanton corrections to the OPE of CPOs in N=4 SYM_4. Nucluar Physics B, 602, 238-260.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-566B-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-566C-A
Genre: Journal Article

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3350.pdf (Preprint), 246KB
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 Creators:
Arutyunov, Gleb1, Author
Frolov, Sergey, Author
Petkou, Anastasios C., Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

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 Abstract: 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.

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Language(s): eng - English
 Dates: 2001
 Publication Status: Published in print
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 Identifiers: eDoc: 3350
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Title: Nucluar Physics B
Source Genre: Journal
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Pages: - Volume / Issue: 602 Sequence Number: - Start / End Page: 238 - 260 Identifier: -