Finite-size effect for four-loop Konishi of the β-deformed N=4 SYM

Changrim Ahn, Zoltan Bajnok, Diego Bombardelli, Rafael I. Nepomechie

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27 Scopus citations


We propose that certain twists of the su(2|2) S-matrix elements describe the β-deformation of N=4 supersymmetric Yang-Mills theory. We compute the perturbative four-loop anomalous dimension of the Konishi operator of the deformed gauge theory from the LÜscher formula based on these twisted S-matrix elements. The result agrees exactly with the perturbative gauge theory computations.

Original languageEnglish
Pages (from-to)380-385
Number of pages6
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number3
StatePublished - Oct 2010

Bibliographical note

Funding Information:
We thank N. Beisert, M. Martins, and M. Staudacher for valuable discussions and the APCTP Focus Program 2009 and 2010 where parts of the work have been performed. This work was supported in part by KRF-2007-313- C00150, WCU Grant No. R32-2008-000-101300 (CA, DB), by Bolyai Scholarship and OTKA 81461 (ZB), and by the National Science Foundation under Grants PHY-0554821 and PHY-0854366 (RN).


  • AdS/CFT
  • Beta-deformation
  • Finite-size effect


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