Abstract

A recently discovered generalized Gribov-Lipatov reciprocity holds for the anomalous dimensions of various twist operators in Script N = 4 SYM. Here, we consider a class of scaling 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.

Publication Type:	Article
Publisher Keywords:	integrable quantum field theory, integrable spin chains (vertex models), quantum integrability (Bethe ansatz).
Departments:	School of Mathematics, Computer Science & Engineering > Mathematics

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