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The full spectrum of AdS$_5$/CFT$_4$ II: Weak coupling expansion via the quantum spectral curve

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arxiv 1812.09238 v1 pith:JXLQ56MS submitted 2018-12-21 hep-th

Christian Marboe , Dmytro Volin This is my paper · ORCID
classification hep-th
keywords solutionsspectralcouplingcurvelimitquantumsolutionweak
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We continue the effort to optimise and generalise the solution of the spectral problem of AdS$_5$/CFT$_4$ in the planar limit via integrability. We present a simple strategy to solve the quantum spectral curve perturbatively for general states by focusing on the $\mathbf{P}\mu$-system. A Mathematica notebook with an implementation of this algorithm is provided, as well as an extensive database with a user-friendly interface containing more than 8.000 solutions of the QSC. When investigating the solution space, we observe a curious phenomenon: existence of solutions for which the Q-system degenerates in the limit $g\to 0$. These degeneracies are lifted at higher orders in perturbation theory. The degenerating solutions have auxiliary Bethe roots merging with branch points at weak coupling.

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Cited by 3 Pith papers

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

  1. Regge Trajectories of N=4 SYM Part I: General Asymptotic Baxter-Bethe Ansatz

    hep-th 2025-07 conditional novelty 6.0 of 10

    From the Quantum Spectral Curve, the authors derive the Asymptotic Baxter-Bethe Ansatz, which determines the asymptotic BFKL spectrum of Regge trajectories in N=4 SYM, reproduces known weak-coupling results, and suppo...

  2. Probing Line Defect CFT with Mixed-Correlator Bootstrability

    hep-th 2024-12 conditional novelty 6.0 of 10

    Using mixed-correlator bootstrability with parity and localization input, this paper produces new finite-coupling bounds on 12 OPE coefficients and a new exact BPS structure constant for the Maldacena-Wilson line defect CFT.

  3. DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling

    hep-th 2019-08 unverdicted

    A review of known results on DGLAP and BFKL equations in N=4 SYM, from weak-coupling perturbation theory to strong coupling via AdS/CFT and integrability, with no new derivations.

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