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arXiv · hep-th/9208044

Conformal Matrix Models as an Alternative to Conventional Multi-Matrix Models

S. Kharchev·A. Marshakov·A. Mironov·A. Morozov·S. Pakuliak
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Abstract

We introduce {\it conformal multi-matrix models} (CMM) as an alternative to conventional multi-matrix model description of two-dimensional gravity interacting with $c < 1$ matter. We define CMM as solutions to (discrete) extended Virasoro constraints. We argue that the so defined alternatives of multi-matrix models represent the same universality classes in continuum limit, while at the discrete level they provide explicit solutions to the multi-component KP hierarchy and by definition satisfy the discrete $W$-constraints. We prove that discrete CMM coincide with the $(p,q)$-series of 2d gravity models in a {\it well}-{\it defined} continuum limit, thus demonstrating that they provide a proper generalization of Hermitian one-matrix model.

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S. Kharchev, A. Marshakov, A. Mironov, A. Morozov, S. Pakuliak. 1992-08-17. Conformal Matrix Models as an Alternative to Conventional Multi-Matrix Models. https://doi.org/10.1016/0550-3213(93)90595-g

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