Preprint

PUBDB-2025-02089

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Orthogonality of Q-Functions up to Wrapping in Planar $\mathcal{N}$ = 4 Super Yang-Mills Theory

Bargheer, T. (Corresponding author)DESY* ; Bercini, C. ; Cavaglià, A. ; Lai, D.DESY* ; Ryan, P.DESY*

2025

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Please use a persistent id in citations: doi:10.3204/PUBDB-2025-02089

Report No.: DESY-25-095; arXiv:2507.00110

Abstract: We construct orthogonality relations in the Separation of Variables framework for the $\mathfrak{sl}$(2) sector of planar $\mathcal{N}$ = 4 supersymmetric Yang-Mills theory. Specifically, we find simple universal measures that make Q-functions of operators with different spins vanish at all orders in perturbation theory, prior to wrapping corrections. To analyze this rank-one sector, we relax some of the assumptions thus far considered in the Separation of Variables framework. Our findings may serve as guidelines for extending this formalism to other sectors of the theory as well as other integrable models

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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)460391856 - Feldtheorie lösen mittels Integrabilität (460391856) (460391856)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2025

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