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Introduction to Integrability and One-point Functions in $\mathcal{N}=4$ SYM and its Defect Cousin

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arxiv 1708.02525 v1 pith:LKUEFU54 submitted 2017-08-08 hep-th cond-mat.stat-mech

M. de Leeuw , A.C. Ipsen , C. Kristjansen , M. Wilhelm This is my paper · ORCID
classification hep-thcond-mat.stat-mech
keywords integrabilitydefectfunctionsintroductionmathcalone-pointtheoryapplication
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

These lectures give a basic introduction to $\mathcal{N}=4$ SYM theory and the integrability of its planar spectral problem as seen from the perspective of a recent development, namely the application of integrability techniques in the study of one-point functions in a defect version of the theory.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Derivations for the MPS overlap formulas of rational spin chains

    hep-th 2025-05 conditional novelty 7.0 of 10

    A universal, representation-independent MPS overlap formula is proved for glN rational spin chains and proposed for soN and spN chains.

  2. One-point functions in AdS/dCFT: MPS and twisted Yangian

    hep-th 2025-07 reject novelty 4.0 of 10

    A master's thesis re-derives known SU(3) one-point overlap formulas via twisted Yangian highest-weight matching, while leaving the SO(6) extension unfinished with parameters still to fix.

  3. String theory methods for defect CFTs

    hep-th 2025-01 conditional novelty 2.0 of 10

    A review paper that re-presents earlier results on integrable probe-brane defects and holographic defect correlators without adding a new central result.

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