Conformal matrix models as an alternative to conventional multi-matrix models

S. Kharchev, A. Marshakov, A. Mironov, A. Morozov, S. Pakuliak

Research output: Contribution to journalArticlepeer-review

94 Citations (Scopus)

Abstract

We introduce conformal multi-matrix models (CMMs) as an alternative to conventional multi-matrix model description of two-dimensional gravity interacting with c < 1 matter. We define CMMs as solutions to (discrete) extended Virasoro constraints. We argue that the so defined alternatives of multi-matrix models represent the same universality classes in the 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 CMMs coincide with the (p, q)-series of 2d gravity models in a well-defined continuum limit, thus demonstrating that they provided a proper generalization of the hermitian one-matrix model.

Original languageEnglish
Pages (from-to)717-750
Number of pages34
JournalNuclear Physics B
Volume404
Issue number3
DOIs
Publication statusPublished - 6 Sep 1993
Externally publishedYes

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