English

Reciprocity of gauge operators in N=4 SYM

High Energy Physics - Theory 2008-11-26 v2

Abstract

A recently discovered generalized Gribov-Lipatov reciprocity holds for the anomalous dimensions of various twist operators in N=4 SYM. Here, we consider a class of scaling psu(2,2|4) operators that reduce at one-loop to twist-3 maximal helicity gluonic operators. We extract from the asymptotic long-range Bethe Ansatz a closed expression for the spin dependent anomalous dimension at four loop order and provide a complete proof of reciprocity. We comment about the interplay with possible, yet unknown, wrapping corrections.

Keywords

Cite

@article{arxiv.0803.3768,
  title  = {Reciprocity of gauge operators in N=4 SYM},
  author = {Matteo Beccaria and Valentina Forini},
  journal= {arXiv preprint arXiv:0803.3768},
  year   = {2008}
}

Comments

Latex, JHEP style, 36 pages, v2: references added

R2 v1 2026-06-21T10:24:41.363Z