An infinite family of non-local integrals of motion is constructed for deformed W-algebras of types A_l, D_l, E_{6,7,8} as a two-parameter deformation of the monodromy trace in g-KdV theory, with commutativity proven for A/D and conjectured for E.
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Non-local integrals of motion for deformed $W$-algebras of types $g=A_l, D_l, E_{6,7,8}$
An infinite family of non-local integrals of motion is constructed for deformed W-algebras of types A_l, D_l, E_{6,7,8} as a two-parameter deformation of the monodromy trace in g-KdV theory, with commutativity proven for A/D and conjectured for E.