Anomalous dimension with wrapping at four loops in N=4 SYM

2008/06/30 by F. Fiamberti, A. Santambrogio, Alberto Santambrogio +3 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2008.07.014

published as Nucl.Phys.B805:231-266,2008 · LaTeX, mpost, feynmf, 48 pages, 17 figures, 13 tables; v2: symmetry factor of 2 corrected in W_D which modifies the rational part of the final result, references added

arxiv created 2008/07/03 · openalex publication_date 2008/07/24 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper we give all the details of the calculation that we presented in our previous paper arXiv:0712.3522, concerning the four-loop anomalous dimension of the Konishi descendant tr(ϕZϕZ-ϕϕZ Z) in the SU(2) sector of the N=4 planar SYM theory. We explicitly consider all the wrapping diagrams that we compute using an N=1 superspace approach and Gegenbauer polynomial x-space techniques.

Citations

• Wrapping Interactions and the Konishi Operator
• A Novel Long Range Spin Chain and PlanarN=4 Super Yang-Mills
• Finite size effects for giant magnons on physical strings
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Quantum wrapped giant magnon
• Four-loop dressing phase ofN=4super-Yang-Mills theory

Cited by

• The Four-Loop Konishi in N=4 SYM
• Finite-size effects in the superconformal β-deformed 𝒩 = 4 SYM
• 6-loop anomalous dimension of a single impurity operator from AdS/CFT and multiple zeta values