Exact three-point functions in $$ \mathcal{N} $$ = 2 superconformal field theories: integrability vs. localization
Year: 2026
Type: article
Abstract: A bstract We propose an integrability approach for planar three-point functions at finite coupling in $$ \mathcal{N} $$ N = 2 superconformal field theories obtained as ℤ K orbifolds of $$ \mathcal{N} $$ N = 4 super Yang-Mills (SYM). Generalizing the hexagon formalism for $$ \mathcal{N} $$ N = 4 SYM, we reproduce the structure constants of Coulomb branch operators, previously obtained by supersymmetric localization, as exact functions of the ’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.
Source: Journal of High Energy Physics
Institutions: University of Bonn, European Organization for Nuclear Research, Centre National de la Recherche Scientifique, Commissariat à l'Énergie Atomique et aux Énergies Alternatives, Université Paris-Saclay, Institut de Physique Théorique, ICTP South American Institute for Fundamental Research, Universidade Estadual Paulista (Unesp)
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Funders: CERN, Strong, European Cooperation in Science and Technology, Deutsche Forschungsgemeinschaft, Agence Nationale de la Recherche, Abdus Salam International Centre for Theoretical Physics, Centre National de la Recherche Scientifique, ICTP South American Institute for Fundamental Research, Stony Brook University
OpenAlex ID: W4414903966