ar X iv : 0 70 5 . 06 27 v 1 [ m at h - ph ] 4 M ay 2 00 7 The Intergals of Motion for the Deformed W - Algebra W

نویسندگان

  • Boris FEIGIN
  • Takeo KOJIMA
  • Jun’ichi SHIRAISHI
چکیده

We review the deformed W -algebra Wq,t(ŝlN ) and its screening currents. We explicitly construct the Local Integrals of Motion In (n = 1, 2, · · ·) for this deformed W -algebra. We explicitly construct the Nonlocal Integrals of Motion Gn (n = 1, 2, · · ·) 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 (ŝl3) [1, 2].

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تاریخ انتشار 2008