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

Research output: Contribution to journalArticle

Original languageEnglish
JournalJournal of High Energy Physics
Publication statusAccepted/In press - 12 Jun 2020


  • 2001.11039

    2001.11039.pdf, 949 KB, application/pdf


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 pertur-
bative 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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