Reciprocity and integrability in the sl(2) sector of N=4 SYM

Abstract

We analyze the higher conserved charges of type IIB superstring on AdS5 x S5 from the perspective of a recently discovered generalized Gribov-Lipatov reciprocity. We provide several evidences that reciprocity holds for all the higher charges and not only for the energy. This is discussed in the simple case of twist L=2, and 3 operators in the sl(2) subsector at (a) multi-loop level in weak coupling, (b) classical level at strong coupling for the dual folded string.

27 pages, improved bibliography

References in corpus (27)

• Spinning strings and AdS/CFT duality
• Dressing and Wrapping
• Anomalous dimensions of high-spin operators beyond the leading order
• Wrapping at four loops in N=4 SYM
• Five loop Konishi from AdS/CFT
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations
• Anomalous dimension with wrapping at four loops in N=4 SYM
• N=4 SUSY Yang--Mills: three loops made simple(r)
• Twist-three at five loops, Bethe Ansatz and wrapping
• Structure of large spin expansion of anomalous dimensions at strong coupling
• Large spin corrections in $\mathcal{N}=4$ SYM sl(2): still a linear integral equation
• Long-range SL(2) Baxter equation in N=4 super-Yang-Mills theory
• Analytic three-loop Solutions for N=4 SYM Twist Operators
• Fine structure of anomalous dimensions in N=4 super Yang-Mills theory
• The virtual scaling function of AdS/CFT
• Towards Baxter equation in supersymmetric Yang-Mills theories
• Four loop reciprocity of twist two operators in N=4 SYM
• Five-loop anomalous dimension at critical wrapping order in N=4 SYM
• Analytic solution of the multiloop Baxter equation
• Anomalous dimensions at twist-3 in the sl(2) sector of N=4 SYM
• Reciprocity of gauge operators in N=4 SYM
• Baxter equation for long-range SL(2|1) magnet
• Strong coupling expansion of Baxter equation in N=4 SYM
• Fusion hierarchies for N = 4 superYang-Mills theory
• On the high spin expansion in the $sl(2)$ $\mathcal{N}=4$ SYM theory
• Baxter equation beyond wrapping
• Analytic Bethe Ansatz and Baxter equations for long-range psl(2|2) spin chain

Cited by in corpus (2)

• Large spin behavior of anomalous dimensions and short-long strings duality
• Generalized Gribov-Lipatov Reciprocity and AdS/CFT