New W-q,W-p(sl(2)) algebras from the elliptic algebra A(q,p)((sl)over-cap(2)(c))

摘要

We construct operators t(z) in the elliptic algebra A(q,p),((sl)over-cap(2)(c)) closing an exchange algebra when p(m) = q(c+2) for m is an element of Z. In addition they commute when p = q(2k) for k non-zero integer, and they belong to the center of A(q,p)((sl)over-cap(2)(c)) when k is odd. The Poisson structures obtained for t(z) in these classical limits are identical to the q-deformed Virasoro Poisson algebra, characterizing the structures at p not-equal q(2k) as new W-q,W-p(sl(2)) algebras. (C) 1998 Elsevier Science B.V. [References: 13]