Hamiltonian Reduction and the Construction of q-Deformed Extensions of the Virasoro Algebra

E. Batista, J. F. Gomes, I. J. Lautenschleguer

In this paper we employ the construction of Dirac bracket for the remaining current of $sl(2{)}_q$ deformed Kac-Moody algebra when constraints similar to those connecting the $sl(2)$…