Artigo
Hamiltonian reduction and the construction of q-deformed extensions of the Virasoro algebra
Fecha
1998-07-24Registro en:
Journal of Physics A: Mathematical and General, v. 31, n. 29, 1998.
0305-4470
10.1088/0305-4470/31/29/001
2-s2.0-0032563064
Autor
Universidade de São Paulo (USP)
Universidade Estadual Paulista (Unesp)
Resumen
In this paper we employ the construction of the Dirac bracket for the remaining current of sl(2) q deformed Kac-Moody algebra when constraints similar to those connecting the sl(2)-Wess-Zumino-Witten model and the Liouville theory are imposed to show that it satisfies the q-Virasoro algebra proposed by Frenkel and Reshetikhin The crucial assumption considered in our calculation is the existence of a classical Poisson bracket algebra induced in a consistent manner by the correspondence principle, mapping the quantum generators into commuting objects of classical nature preserving their algebra.