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Opers for higher states of the quantum Boussinesq model

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arxiv 1908.11559 v1 pith:TSKMQRBM submitted 2019-08-30 math-ph hep-thmath.MP

Davide Masoero , Andrea Raimondo This is my paper
classification math-phhep-thmath.MP
keywords boussinesqmodelquantumoperatorsstatesansatzbetheclass
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We study the ODE/IM correspondence for all the states of the quantum Boussinesq model. We consider a particular class of third order linear ordinary differential operators and show that the generalised monodromy data of such operators provide solutions to the Bethe Ansatz equations of the Quantum Boussinesq model.

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  1. On W-algebras and ODE/IM correspondence

    hep-th 2025-08 conditional novelty 6.0 of 10

    The eigenvalues of quantum KdV-type charges in Virasoro, W3, and W4 algebras are computed from Bethe roots via WKB periods of Catalan curves, verified against direct CFT diagonalization.

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