ON THE CONTINUUM LIMIT OF THE CONFORMAL MATRIX MODELS

Andrei Dmitrievich Mironov, Stanislav Zdislavovich Pakuliak · International Journal of Modern Physics A · 1993

The double scaling limit of a new class of the multi-matrix models proposed in Ref. 1, which possess the W-symmetry at the discrete level, is investigated in detail. These models are demonstrated to fall into the same universality class as the standard multi-matrix models. In particular, the transformation of the W-algebra at the discrete level into the continuum one of the papers2 is proposed and the corresponding partition functions compared. All calculations are demonstrated in full in the first nontrivial case of W(3)-constraints.

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