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

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.

arXiv comment47 pages, 2 Mathematica notebooks

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Cited by in corpus (3)

• Extended systems of Baxter Q-functions and fused flags I: simply-laced case
• DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling
• Anomalous dimensions of twist 2 operators and $\mathcal{N}=4$ SYM quantum spectral curve