The Integrals of Motion for the Deformed W-Algebra Wqt(sl_N^)
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2007
- DOI:
- 10.48550/arXiv.0705.0627
- arXiv:
- arXiv:0705.0627
- Bibcode:
- 2007arXiv0705.0627F
- Keywords:
-
- Mathematical Physics;
- 81B68;
- 17B68
- E-Print:
- Proceedings for Representation Theory 2006, Atami, Japan, p.102-114, (2006), [ISBN4-9902328-2-8]