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arxiv: hep-th/0410105 · v3 · submitted 2004-10-10 · ✦ hep-th · nlin.SI

Classical/quantum integrability in non-compact sector of AdS/CFT

classification ✦ hep-th nlin.SI
keywords classicalnon-compactbethechaincomparedilatationdiscussequations
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We discuss non-compact SL(2,R) sectors in N=4 SYM and in AdS string theory and compare their integrable structures. We formulate and solve the Riemann-Hilbert problem for the finite gap solutions of the classical sigma model and show that at one loop it is identical to the classical limit of Bethe equations of the spin (-1/2) chain for the dilatation operator of SYM.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Quark Anti-Quark Fusion and Walking RG Flows

    hep-th 2026-07 unverdicted novelty 7.0

    Fusion of conjugate line defects exhibits walking RG at criticality with SL(2,R) Casimir fixing scheme-independent spectrum density, derived exactly in N=4 SYM via Quantum Spectral Curve.