Geodesic
On the continuum limit of the conformal matrix models
Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 2, pp. 317-340

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The double scaling limit of a new class of the multi-matrix models proposed in [1], 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 [2] is proposed, the corresponding partition functions being compared. All calculations are demonstrated in full in the first non-trivial case of $W^{(3)}$-constraints. 
@article{TMF_1993_95_2_a15,
     author = {A. D. Mironov and S. Z. Pakulyak},
     title = {On the continuum limit of the conformal matrix models},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {317--340},
     publisher = {mathdoc},
     volume = {95},
     number = {2},
     year = {1993},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TMF_1993_95_2_a15/}
}
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A. D. Mironov; S. Z. Pakulyak. On the continuum limit of the conformal matrix models. Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 2, pp. 317-340. http://geodesic.mathdoc.fr/item/TMF_1993_95_2_a15/