OPE-based recursive renormalization for mixed composite operators gives five-loop anomalous dimensions in phi^4 and two-loop in phi^3 models.
Quantum spectral curve for AdS_5/CFT_4
5 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We present a new formalism, alternative to the old TBA-like approach, for solution of the spectral problem of planar N = 4 SYM. It takes a concise form of a non-linear matrix Riemann-Hilbert problem in terms of a few Q-functions. We demonstrate the formalism for two types of observables - local operators at weak coupling and cusped Wilson lines in a near BPS limit.
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2026 5verdicts
UNVERDICTED 5representative citing papers
A Groenewold-Moyal twist deforms an integrable sl(2) spin-chain whose spectrum is computed perturbatively via the Baxter equation and matched at order J^{-3} to a non-local charge of a deformed BMN string in AdS.
The paper derives moduli-modified functional relations for Wronskians of a classical Lax ODE that identify quantum states, produce Y-systems and TBA equations without scattering theory, and prove two Zamolodchikov conjectures for the zero-momentum homogeneous sine-Gordon model linked to N=4 SYM and
In the classical strong-coupling regime, half-BPS correlation functions in planar N=4 SYM exponentiate under the hexagon formalism and are governed by TBA equations structurally equivalent to Gaiotto-Moore-Neitzke equations, enabling a chi-system for both polygonal and closed geometries.
Holographic probe-brane calculations produce defect one- and two-point functions of heavy scalars that match OPE and BOE limits.
citing papers explorer
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The OPE Approach to Renormalization: Operator Mixing
OPE-based recursive renormalization for mixed composite operators gives five-loop anomalous dimensions in phi^4 and two-loop in phi^3 models.
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Groenewold-Moyal twists, integrable spin-chains and AdS/CFT
A Groenewold-Moyal twist deforms an integrable sl(2) spin-chain whose spectrum is computed perturbatively via the Baxter equation and matched at order J^{-3} to a non-local charge of a deformed BMN string in AdS.
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From classical Lax ODEs to quantum integrable theories: the moduli
The paper derives moduli-modified functional relations for Wronskians of a classical Lax ODE that identify quantum states, produce Y-systems and TBA equations without scattering theory, and prove two Zamolodchikov conjectures for the zero-momentum homogeneous sine-Gordon model linked to N=4 SYM and
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Classical correlation functions at strong coupling from hexagonalization
In the classical strong-coupling regime, half-BPS correlation functions in planar N=4 SYM exponentiate under the hexagon formalism and are governed by TBA equations structurally equivalent to Gaiotto-Moore-Neitzke equations, enabling a chi-system for both polygonal and closed geometries.
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Heavy holographic correlators in defect conformal field theories
Holographic probe-brane calculations produce defect one- and two-point functions of heavy scalars that match OPE and BOE limits.