Conformal dimensions in Bethe ansatz solvable models

Abstract
Models solvable by the hierarchy of Bethe ansatze (i.e. by the multicomponent Bethe ansatz) are considered. The spectrum of conformal dimensions which determines the long-distance asymptotics of correlations is calculated. This asymptotics in a general case is described by the direct sum of conformal theories, each possessing a central charge equal to one.