The full spectrum of AdS5/CFT4 II: Weak coupling expansion via the quantum spectral curve

Authors: Christian Marboe, Dmytro Volin

Preprint number: UUITP-61/18

We continue the effort to optimise and generalise the solution of the spectral problem of AdS5/CFT4 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 Pμ-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→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.

FOLLOW UPPSALA UNIVERSITY ON

Uppsala University on Facebook
Uppsala University on Instagram
Uppsala University on Youtube
Uppsala University on Linkedin