Reciprocity of gauge operators in N=4 SYM

Details Reciprocity of gauge operators in N=4 SYM Reciprocity of gauge operators in N=4 SYM

2008-03-26

arxiv.org/abs/0803.3768v2

JHEP0806:077,2008

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/1126-6708/2008/06/077

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.

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