Journal Article

PUBDB-2026-00120

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Three-point functions from integrability in $\mathcal{N}=2$ orbifold theories

le Plat, D. (Corresponding author) ; Skrzypek, T.DESY*

2025
Springer Heidelberg

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Please use a persistent id in citations: doi:10.1007/JHEP12(2025)172  doi:10.3204/PUBDB-2026-00120

Report No.: DESY-25-088; arXiv:2506.21323

Abstract: Besides solving the spectral problem of $\mathcal{N}=4$ 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 $\mathcal{N}=4$ 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 $\mathcal{N}=2$ supersymmetric ${\mathbb{Z}}_{M}$-orbifold theories. BPS correlators in these theories have recently been investigated with independent localisation techniques and a structural 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.

Keyword(s): Integrable Field Theories ; AdS-CFT Correspondence ; Supersymmetric Gauge Theory

Note: cc-by, 39 pages, 7 figures, 122 structure constants; v3: to be published in JHEP, comments and two figures added; v2: References added

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project G:(GEPRIS)506632645 - SFB 1624: Höhere Strukturen, Modulräume und Integrabilität (506632645) (506632645)
3. DFG project G:(GEPRIS)390833306 - EXC 2121: Das Quantisierte Universum II (390833306) (390833306)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2025

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint le Plat, D. ; Skrzypek, T. (Corresponding author)DESY*
Three-point functions from integrability in $\mathcal{N}=2$ orbifold theories
[10.3204/PUBDB-2025-01931]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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