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arXiv · 0705.0627

The Integrals of Motion for the Deformed W-Algebra Wqt(sl_N^)

B. Feigin·T. Kojima·J. Shiraishi·H. Watanabe
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Abstract

We review the deformed W-algebra Wqt(sl_N^) and its screening currents. We explicitly construct the local integrals of motion I_n for this deformed W-algebra. We explicitly construct the nonlocal integrals of motion G_n 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(sl_3^), obtained by V.Bazhanov, A.Hibberd, S.Khoroshkin, S.Lukyanov and Al.Zamolodchikov.

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B. Feigin, T. Kojima, J. Shiraishi, H. Watanabe. 2007-05-04. The Integrals of Motion for the Deformed W-Algebra Wqt(sl_N^). https://arxiv.org/abs/0705.0627

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