Wrapping Interactions and the Konishi Operator

2008/01/10 by Cynthia Keeler, Cynthia A. Keeler, Keeler, Cynthia A. +2 · 3 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.48550/arxiv.0801.1661

28 pages, 14 figures

arxiv created 2008/01/10 · openalex publication_date 2008/01/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a calculation of the four-loop anomalous dimension of the SU(2) sector Konishi operator in N=4 SYM, as an example of "wrapping" corrections to the known result for long operators. We use the known dilatation operator at four loops acting on long operator, and just calculate those diagrams which are affected by the change from operator length L > 4 to L = 4. We find that the answer involves a Zeta[5], so it has trancendentality degree five. Our result differs from previous proposals and calculations. We also discuss some ideas for extending this analysis to determine finite size corrections for operators of arbitrary length in the SU(2) sector.

Cited by

• Finite size effects for giant magnons on physical strings
• Anomalous dimension with wrapping at four loops in N=4 SYM
• Finite-size effects in the superconformal β-deformed 𝒩 = 4 SYM

Related

• Boxing with Konishi
• Wrapping corrections beyond the sl(2) sector in N=4 SYM
• Exact Results in Supersymmetric Gauge Theories
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• The Non-Planar Four-Point Integrand and Konishi Dimension in N=4 Super Yang-Mills Theory at Five Loops