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

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abstract

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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hep-th 1

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2026 1

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Quark Anti-Quark Fusion and Walking RG Flows

hep-th · 2026-07-01 · 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.

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  • Quark Anti-Quark Fusion and Walking RG Flows hep-th · 2026-07-01 · unverdicted · none · ref 58 · internal anchor

    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.