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arXiv · 1812.09238

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

Christian Marboe·Dmytro Volin
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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 $\mathbf{P}μ$-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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Christian Marboe, Dmytro Volin. 2018-12-21. The full spectrum of AdS$_5$/CFT$_4$ II: Weak coupling expansion via the quantum spectral curve. https://arxiv.org/abs/1812.09238

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