On the Continuum Limit of the Conformal Matrix Models

Details On the Continuum Limit of the Conformal Matrix Models On the Continuum Limit of the Conformal Matrix Models

1992-09-25

arxiv.org/abs/hep-th/9209100v1

Theor.Math.Phys. 95 (1993) 604-625; Teor.Mat.Fiz. 95 (1993) 317-340

Physics

High Energy Physics

High Energy Physics - Theory

FIAN/TD-5/92, LaTeX, 32pp

Scientific paper

10.1142/S0217751X93001247

The double scaling limit of a new class of the multi-matrix models proposed in \cite{MMM91}, which possess the $W$-symmetry at the discrete level, is investigated in details. 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 paper \cite{FKN91a} is proposed, the corresponding partition functions being compared. All calculations are demonstrated in full in the first non-trivial case of $W^{(3)}$-constraints.

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