Dynamical decoupling and Kac-Moody current representation in multicomponent integrable systems

Abstract

The conformal invariant character of $\nu$-multicomponent integrable systems (with $\nu$ branches of gapless excitations) is described from the point of view of the response to curvature of the two-dimensional space. The $\nu \times \nu$ elements of the dressed charge matrix are shown to be transition matrix elements of the zero ($\mu =0$) components of the diagonal generators of $\nu$ independent Kac-Moody algebras (Cartan currents). The dynamical decoupling which occurs in these systems is characterized in terms of the conductivities associated with the $\mu =1$ components of the Cartan currents.

10 pages, RevteX, P-92-09-113

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