DEFORMATION OF A VIRASORO ALGEBRA AND THE INTEGRALS OF MOTION OF THE QUANTUM SINE-GORDON EQUATION

A special deformation of a Virasoro algebra such that the screening op erator is not deformed (the space where it operates is deformed) is st udied. This deformation leads to a 3-index algebra. The residue of the generating function of the generators of this algebra is a generating function of the integrals of motion for the quantum sine-Gordon model . The algebra of generating functions is calculated. Explicit formulas are presented for the first few integrals of motion. (C) 1996 America n Institute of Physics.