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

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

2007-05-04

arxiv.org/abs/0705.0627v1

Proceedings for Representation Theory 2006

Physics

Mathematical Physics

Proceedings for Representation Theory 2006, Atami, Japan, p.102-114, (2006), [ISBN4-9902328-2-8]

Scientific paper

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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