Global symmetry and integral constraint on superconformal lines in four dimensions

Abstract

A bstract We study properties of point-like impurities preserving flavor symmetry and supersymmetry in four-dimensional 𝒩 = 2 field theories. At large distances, such impurities are described by half-BPS superconformal line defects. By working in the AdS 2 × S 2 conformal frame, we develop a novel and simpler way of deriving the superconformal Ward identities relating the various two-point functions of flavor current multiplet operators in the presence of the defect. We use these relations to simplify a certain integrated two-point function of flavor current multiplet operators that, in Lagrangian theories, can be computed using supersymmetric localization. The simplification gives an integral constraint on the two-point function of the flavor current multiplet superconformal primary with trivial integration measure in the AdS 2 × S 2 conformal frame. We provide several consistency checks on our Ward identities.

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BibTeX RIS

BibTeX

@article{dempsey2026global,
  title = {{Global symmetry and integral constraint on superconformal lines in four dimensions}},
  author = {Ross Dempsey and Bendeguz Offertaler and Silviu S. Pufu and Yifan Wang},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = jun,
  doi = {10.1007/jhep06(2026)180},
  url = {https://doi.org/10.1007/jhep06(2026)180},
  note = {CC BY},
}

RIS

TY  - JOUR
TI  - Global symmetry and integral constraint on superconformal lines in four dimensions
AU  - Ross Dempsey
AU  - Bendeguz Offertaler
AU  - Silviu S. Pufu
AU  - Yifan Wang
PY  - 2026
DA  - 2026/06/17
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep06(2026)180
UR  - https://doi.org/10.1007/jhep06(2026)180
AB  - A bstract We study properties of point-like impurities preserving flavor symmetry and supersymmetry in four-dimensional 𝒩 = 2 field theories. At large distances, such impurities are described by half-BPS superconformal line defects. By working in the AdS 2 × S 2 conformal frame, we develop a novel and simpler way of deriving the superconformal Ward identities relating the various two-point functions of flavor current multiplet operators in the presence of the defect. We use these relations to simplify a certain integrated two-point function of flavor current multiplet operators that, in Lagrangian theories, can be computed using supersymmetric localization. The simplification gives an integral constraint on the two-point function of the flavor current multiplet superconformal primary with trivial integration measure in the AdS 2 × S 2 conformal frame. We provide several consistency checks on our Ward identities.
SN  - 1029-8479
SN  - 1126-6708
SN  - 1127-2236
ER  -

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