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We show that the recently developed {\it pseudoparticle operator algebra}which generates the low-energy Hamiltonian eigenstates of multicomponentintegrable systems also provides a natural operator representation for the theVirasoro algebras associated with the conformal-invariant character of thelow-energy spectrum of the these models. Studying explicitly the Hubbard chainin a non-zero chemical potential and external magnetic field, we establish thatthe pseudoparticle perturbation theory provides a correct starting point forthe construction of a suitable critical-point Hamiltonian. We derive explicitexpressions in terms of pseudoparticle operators for the generators of theVirasoro algebras and the energy-momentum tensor, describe theconformal-invariant character of the critical point from the point of view ofthe response to curvature of the two-dimensional space-time, and discuss therelation to Kac-Moody algebras and dynamical separation.Comment: 35 pages, RevteX, preprint UA

Perturbation theory of low-dimensional quantum liquids. II. Operator description of Virasoro algebras in integrable systems