Reciprocity of gauge operators in N=4 SYM
arXiv:0803.3768 · doi:10.1088/1126-6708/2008/06/077
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
References in corpus (15)
- A Test of the AdS/CFT Correspondence Using High-Spin Operators
- Anomalous dimensions of high-spin operators beyond the leading order
- Wrapping at four loops in N=4 SYM
- Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
- The Strong Coupling Limit of the Scaling Function from the Quantum String Bethe Ansatz
- N=4 SUSY Yang--Mills: three loops made simple(r)
- Strong coupling limit of Bethe Ansatz equations
- The Four-Loop Dressing Phase of N=4 SYM
- Twist 3 of the sl(2) sector of N=4 SYM and reciprocity respecting evolution
- Three loop anomalous dimensions of twist-3 gauge operators in N=4 SYM
- Baxter equation for long-range SL(2|1) magnet
- Anomalous dimensions of leading twist conformal operators
- Fusion hierarchies for N = 4 superYang-Mills theory
- Wrapping Interactions and the Konishi Operator
- Anomalous dimensions of finite size field strength operators in N=4 SYM
Cited by in corpus (8)
- Twist-three at five loops, Bethe Ansatz and wrapping
- Structure of large spin expansion of anomalous dimensions at strong coupling
- 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
- Magnons and BFKL
- Sum rules for higher twist sl(2)operators in N=4 SYM
- The virtual scaling function of twist operators in the N=6 Chern-Simons theory