Reciprocity of gauge operators in N=4 SYM

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.

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

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Cited by in corpus (19)

• Four loop twist two, BFKL, wrapping and strings
• Twist-three at five loops, Bethe Ansatz and wrapping
• Structure of large spin expansion of anomalous dimensions at strong coupling
• Large spin systematics in CFT
• Fine structure of anomalous dimensions in N=4 super Yang-Mills theory
• Four loop reciprocity of twist two operators in N=4 SYM
• Jet fragmentation and gauge/string duality
• On DIS Wilson coefficients in N = 4 super Yang-Mills theory
• QCD properties of twist operators in the N=6 Chern-Simons theory
• Review of AdS/CFT Integrability, Chapter III.4: Twist states and the cusp anomalous dimension
• Sum rules for higher twist sl(2)operators in N=4 SYM
• Magnons and BFKL
• From weak coupling to spinning strings
• Generalized Gribov-Lipatov Reciprocity and AdS/CFT
• Reciprocity and integrability in the sl(2) sector of N=4 SYM
• The virtual scaling function of twist operators in the N=6 Chern-Simons theory
• QCD-like properties for anomalous dimensions in N=4 SYM
• Wrapping corrections, reciprocity and BFKL beyond the sl(2) subsector in N=4 SYM
• Large spin expansion of the wrapping correction to Freyhult-Rej-Zieme twist operators