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Excited states of one-dimensional defect CFTs from the quantum spectral curve

Research output: Contribution to journalArticlepeer-review

Original languageEnglish
Article number42
JournalJournal of High Energy Physics
Issue number7
Accepted/In press12 Jun 2020
Published7 Jul 2020


  • 2001.11039

    2001.11039.pdf, 949 KB, application/pdf

    Uploaded date:02 Jul 2020

    Version:Accepted author manuscript

King's Authors


We study the anomalous dimension of the cusped Maldacena-Wilson line in
planar N = 4 Yang-Mills theory with scalar insertions using the Quantum Spectral Curve (QSC) method. In the straight line limit we interpret the excited states of the QSC as insertions of scalar operators coupled to the line. Such insertions were recently intensively studied in the context of the one-dimensional defect CFT. We compute a five-loop perturbative result analytically at weak coupling and the first four orders in the 1/ λ expansion at strong coupling, confirming all previous analytic results. In addition, we find the non- perturbative spectrum numerically and show that it interpolates smoothly between the weak and strong coupling predictions.

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