The full spectrum of AdS 5 /CFT 4 II: Weak coupling expansion via the quantum spectral curve
- 18 January 2021
- journal article
- research article
- Published by IOP Publishing in Journal of Physics A: Mathematical and Theoretical
- Vol. 54 (5) , 055201
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 (QSC) perturbatively for general states by focussing on the 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 8000 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 → 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.Keywords
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Funding Information
- Exact Results in Gauge and String Theories (Dnr KAW 2015.0083)
- GATIS (317089)
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