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Peer-reviewedCC BYJournal of High Energy Physics

Exact three-point functions in š¯’© = 2 superconformal field theories: integrability vs. localization

  • GwenaĆ«l Ferrando1
  • Shota Komatsu2
  • Gabriel Lefundes3,4,5
  • Didina Serban4,5
5 affiliations
  1. 1UniversitƤt Bonn
  2. 2CERN Department of Theoretical Physics
  3. 3ICTP South American Institute for Fundamental Research, IFT-UNESP
  4. 4UniversitƩ Paris-Saclay, CNRS, CEA, Institut de Physique ThƩorique
  5. 5IPHT - Institut de Physique ThƩorique - UMR CNRS 3681 (Institut de Physique ThƩorique Orme des Merisiers batiment 774 Point courrier 136 CEA/DSM/IPhT CEA/Saclay F-91191 Gif-sur-Yvette Cedex - France)
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Abstract

A bstract We propose an integrability approach for planar three-point functions at finite coupling in š¯’© N = 2 superconformal field theories obtained as ā„¤ K orbifolds of š¯’© N = 4 super Yang-Mills (SYM). Generalizing the hexagon formalism for š¯’© N = 4 SYM, we reproduce the structure constants of Coulomb branch operators, previously obtained by supersymmetric localization, as exact functions of the ā€™t Hooft coupling. Our analysis explains the common physical origin of Fredholm kernels in integrability and localization, and hints at structures after the resummation in the hexagon formalism. Notably, we conjecture an all-loop, all-magnon expression for the wrapping contribution, that we checked against the Fredholm determinant result. We were also able to check that the first few magnon contributions are consistent with the factorized form of the final result.

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Cite

BibTeXRIS
BibTeX
@article{ferrando2026exact,
  title = {{Exact three-point functions in $$ \mathcalN $$ = 2 superconformal field theories: integrability vs. localization}},
  author = {Gwenaƫl Ferrando and Shota Komatsu and Gabriel Lefundes and Didina Serban},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = may,
  doi = {10.1007/jhep05(2026)289},
  url = {https://doi.org/10.1007/jhep05(2026)289},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Exact three-point functions in š¯’© = 2 superconformal field theories: integrability vs. localization
AU  - Gwenaƫl Ferrando
AU  - Shota Komatsu
AU  - Gabriel Lefundes
AU  - Didina Serban
PY  - 2026
DA  - 2026/05/26
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep05(2026)289
UR  - https://doi.org/10.1007/jhep05(2026)289
AB  - A bstract We propose an integrability approach for planar three-point functions at finite coupling in š¯’© N = 2 superconformal field theories obtained as ā„¤ K orbifolds of š¯’© N = 4 super Yang-Mills (SYM). Generalizing the hexagon formalism for š¯’© N = 4 SYM, we reproduce the structure constants of Coulomb branch operators, previously obtained by supersymmetric localization, as exact functions of the ā€™t Hooft coupling. Our analysis explains the common physical origin of Fredholm kernels in integrability and localization, and hints at structures after the resummation in the hexagon formalism. Notably, we conjecture an all-loop, all-magnon expression for the wrapping contribution, that we checked against the Fredholm determinant result. We were also able to check that the first few magnon contributions are consistent with the factorized form of the final result.
SN  - 1029-8479
SN  - 1126-6708
SN  - 1127-2236
ER  -