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Modular Properties of Generalised Gibbs Ensembles: The Deformed KdV Hierarchy
We construct a set of conserved charges which are deformations of quantum KdV charges. They are associated with the modular transformation of a GGE with the spin-$σ$ KdV charge inserted with chemical potential $α_σ$. The charges are formal power series in the chemical potential, with coefficients gi
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