The Integrals of Motion for the Deformed W-Algebra Wqt(slN)
Abstract
We review the deformed W-algebra Wqt(slN) and its screening currents. We explicitly construct the local integrals of motion In for this deformed W-algebra. We explicitly construct the nonlocal integrals of motion Gn by means of the screening currents. Our integrals of motion commute with each other, and give the elliptic version of those for the Virasoro algebra and the W-algebra W(sl3), obtained by V.Bazhanov, A.Hibberd, S.Khoroshkin, S.Lukyanov and Al.Zamolodchikov.
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