Strong coupling expansion of Baxter equation in N=4 SYM

Abstract

The anomalous dimensions of single-trace local Wilson operators with covariant derivatives in maximally supersymmetric gauge theory are believed to be generated from a deformed noncompact sl(2) Baxter equation. We perform a systematic expansion of this equation at strong coupling in the single-logarithmic limit of large conformal spin to overcome the limitation of the asymptotic nature of the equation. The analysis is reduced to Riemann-Hilbert problems for corresponding resolvents of Bethe roots in each order of the quasiclassical expansion. We explicitly construct the resolvents in the lowest two orders in strong coupling and find all local conserved charges of the underlying long-range spin chain.

12 pages

References in corpus (4)

• The Strong Coupling Limit of the Scaling Function from the Quantum String Bethe Ansatz
• Strong coupling limit of Bethe Ansatz equations
• Baxter equation for long-range SL(2|1) magnet
• Analytic Bethe Ansatz and Baxter equations for long-range psl(2|2) spin chain

Cited by in corpus (5)

• Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
• Embedding nonlinear O(6) sigma model into N=4 super-Yang-Mills theory
• Nonperturbative scales in AdS/CFT
• Fusion hierarchies for N = 4 superYang-Mills theory
• The 2-loop generalized scaling function from the BES/FRS equation