Orthogonality of Q-Functions up to Wrapping in Planar N=4 Super Yang-Mills Theory

Fuente: arXiv
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Hauptverfasser: Bargheer, Till, Bercini, Carlos, Cavaglià, Andrea, Lai, Davide, Ryan, Paul
Format: Preprint
Veröffentlicht: 2025
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author Bargheer, Till
Bercini, Carlos
Cavaglià, Andrea
Lai, Davide
Ryan, Paul
author_facet Bargheer, Till
Bercini, Carlos
Cavaglià, Andrea
Lai, Davide
Ryan, Paul
contents We construct orthogonality relations in the Separation of Variables framework for the sl(2) sector of planar 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
format Preprint
id arxiv_https___arxiv_org_abs_2507_00110
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Orthogonality of Q-Functions up to Wrapping in Planar N=4 Super Yang-Mills Theory
Bargheer, Till
Bercini, Carlos
Cavaglià, Andrea
Lai, Davide
Ryan, Paul
High Energy Physics - Theory
We construct orthogonality relations in the Separation of Variables framework for the sl(2) sector of planar 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
title Orthogonality of Q-Functions up to Wrapping in Planar N=4 Super Yang-Mills Theory
topic High Energy Physics - Theory
url https://arxiv.org/abs/2507.00110