Orthogonality of Q-functions up to wrapping in planar $\mathcal{N}=4$ super Yang-Mills theory, by Till Bargheer, Carlos Bercini, Andrea Cavaglià, Davide Lai, Paul Ryan

SciPost Physics Home Authoring Refereeing Submit a manuscript About Orthogonality of Q-functions up to wrapping in planar $\mathcal{N}=4$ super Yang-Mills theory Till Bargheer, Carlos Bercini, Andrea Cavaglià, Davide Lai, Paul Ryan SciPost Phys. 20, 064 (2026) · published 27 February 2026 doi: 10.21468/SciPostPhys.20.2.064 pdf BiBTeX RIS Submissions/Reports 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. × TY - JOURPB - SciPost FoundationDO - 10.21468/SciPostPhys.20.2.064TI - Orthogonality of Q-functions up to wrapping in planar $\mathcal{N}=4$ super Yang-Mills theoryPY - 2026/02/27UR - https://scipost.org/SciPostPhys.20.2.064JF - SciPost PhysicsJA - SciPost Phys.VL - 20IS - 2SP - 064A1 - Bargheer, TillAU - Bercini, CarlosAU - Cavaglià, AndreaAU - Lai, DavideAU - Ryan, PaulAB - 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.ER - × @Article{10.21468/SciPostPhys.20.2.064, title={{Orthogonality of Q-functions up to wrapping in planar $\mathcal{N}=4$ super Yang-Mills theory}}, author={Till Bargheer and Carlos Bercini and Andrea Cavaglià and Davide Lai and Paul Ryan}, journal={SciPost Phys.}, volume={20}, pages={064}, year={2026}, publisher={SciPost}, doi={10.21468/SciPostPhys.20.2.064}, url={https://scipost.org/10.21468/SciPostPhys.20.2.064},} Ontology / Topics See full Ontology or Topics database. Baxter T-Q equation Integrability/integrable models Authors / Affiliations: mappings to Contributors and Organizations See all Organizations. 1 Till Bargheer, 1 Carlos Bercini, 2 3 Andrea Cavaglià, 1 Davide Lai, 1 Paul Ryan 1 Deutsches Elektronen-Synchrotron / Deutsche Elektronen-Synchrotron DESY [DESY] 2 Università degli Studi di Torino / University of Turin [UNITO] 3 Istituto Nazionale di Fisica Nucleare Sezione di Torino / INFN Sezione di Torino Funders for the research work leading to this publication Deutsche Forschungsgemeinschaft / German Research FoundationDeutsche Forschungsgemeinschaft [DFG] Deutsches Elektronen-Synchrotron Eidgenössische Technische Hochschule Zürich / Swiss Federal Institute of Technology in Zurich (ETH) [ETH Zurich] HORIZON EUROPE Marie Sklodowska-Curie Actions Instituto Nazionale di Fisica Nucleare (INFN) (through Organization: Istituto Nazionale di Fisica Nucleare / National Institute for Nuclear Physics [INFN]) Università degli Studi di Torino / University of Turin [UNITO]