TY  - EJOUR
AU  - le Plat, Dennis
AU  - Skrzypek, Torben
TI  - Three-point functions from integrability in <i>N</i>=2 orbifold theories
IS  - DESY-25-088
M1  - PUBDB-2025-01931
M1  - DESY-25-088
M1  - arXiv:2506.21323
PY  - 2025
N1  - 36 pages, 5 figures, 122 structure constants; v2: References added
AB  - Besides solving the spectral problem of <i>N</i>=4 Super-Yang-Mills (SYM) theory, integrability also provides us with tools to compute the structure constants of the theory, most prominently through the hexagon formalism. We show that, with minor modifications, this formalism can also be applied to orbifolds of <i>N</i>=4 SYM theory, which are integrable theories in their own right.To substantiate this claim, we test our results against a direct gauge theory calculation at tree-level. We focus here on a family of <i>N</i>=2 supersymmetric \mathbbZ<sub>M</sub>-orbifold theories. BPS-correlators in these theories have recently been investigated with independent localisation techniques and a tentative matching with wrapping-corrections in the hexagon formalism was observed. Together with our weak-coupling evidence, this suggests that a full determination of the structure constants of orbifold theories at finite coupling may be within reach.
LB  - PUB:(DE-HGF)25
DO  - DOI:10.3204/PUBDB-2025-01931
UR  - https://bib-pubdb1.desy.de/record/631140
ER  -