The Integrals of Motion for the Deformed WAlgebra Wqt(sl_N^)
Abstract
We review the deformed Walgebra Wqt(sl_N^) and its screening currents. We explicitly construct the local integrals of motion I_n for this deformed Walgebra. 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 Walgebra W(sl_3^), obtained by V.Bazhanov, A.Hibberd, S.Khoroshkin, S.Lukyanov and Al.Zamolodchikov.
 Publication:

arXiv eprints
 Pub Date:
 May 2007
 DOI:
 10.48550/arXiv.0705.0627
 arXiv:
 arXiv:0705.0627
 Bibcode:
 2007arXiv0705.0627F
 Keywords:

 Mathematical Physics;
 81B68;
 17B68
 EPrint:
 Proceedings for Representation Theory 2006, Atami, Japan, p.102114, (2006), [ISBN4990232828]