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Dual Separated Variables and Scalar Products

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arxiv 1910.13442 v2 pith:US2AOXIP submitted 2019-10-29 hep-th cond-mat.stat-mechmath-phmath.MPnlin.SI

Nikolay Gromov , Fedor Levkovich-Maslyuk , Paul Ryan , Dmytro Volin This is my paper · ORCID
classification hep-thcond-mat.stat-mechmath-phmath.MPnlin.SI
keywords chainsdualspinvariablesanalysingapplicationbaxtercase
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Separation of variables (SoV) is an extremely efficient and elegant technique for analysing physical systems but its application to integrable spin chains was limited until recently to the simplest su(2) cases. In this paper we continue developing the SoV program for higher-rank spin chains and demonstrate how to derive the measure for the su(3) case. Our results are a natural consequence of factorisability of the wave function and functional orthogonality relations following from the interplay between Baxter equations for Q-functions and their dual.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Yangian symmetry, GKZ equations and integrable Feynman graphs in conformal variables

    hep-th 2024-12 conditional novelty 7.0 of 10

    Yangian-invariant conformal Feynman integrals satisfy a general cross-ratio PDE system that for a class of graphs is exactly a GKZ hypergeometric system.

  2. Probing Line Defect CFT with Mixed-Correlator Bootstrability

    hep-th 2024-12 conditional novelty 6.0 of 10

    Using mixed-correlator bootstrability with parity and localization input, this paper produces new finite-coupling bounds on 12 OPE coefficients and a new exact BPS structure constant for the Maldacena-Wilson line defect CFT.

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