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A Scaling Limit for Line and Surface Defects

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arxiv 2202.03471 v3 pith:AQFMPMOB submitted 2022-02-07 hep-th

classification hep-th
keywords defectsdefectsymmetrychargecomputeconformalcorrelationdimensions
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study symmetry-breaking line defects in the Wilson-Fisher theory with $O(2N+1)$ global symmetry near four dimensions and symmetry-preserving surface defects in a cubic model with $O(2N)$ global symmetry near six dimensions. We introduce a scaling limit inspired by the large charge expansion in Conformal Field Theory. Using this, we compute the beta function for the defect coupling which allows to identify the corresponding Defect Conformal Field Theories. We also compute the correlation function of two parallel defects as well as correlation functions of certain defect operators with large charge under the surviving symmetry.

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Cited by 2 Pith papers

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

  1. Monodromy Defects in Maximally Supersymmetric Yang-Mills Theories from Holography

    hep-th 2025-12 conditional novelty 6.0 of 10

    Codimension-2 monodromy defects in p=2,3,4 maximal SYM are realized by re-interpreting spindle solutions, and their defect entanglement entropy is shown to be proportional to the ambient free energy.

  2. A relativistic continuous matrix product state study of field theories with defects

    hep-th 2025-01 conditional novelty 6.0 of 10

    Expectation values of local operators in phi^4 theory with a magnetic line defect are computed non-perturbatively using relativistic continuous matrix product states, by rotating Euclidean time so the defect becomes a...

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