Generalized matrix models as conformal field theories Discrete case

A. Marshakov, A. Mironov, A. Morozov

Research output: Contribution to journalArticlepeer-review

82 Citations (Scopus)


A systematic approach is developed for constructing solutions of Virasoro and W constraints like those imposed on the partition function of matrix models. In the case of the discrete hermitean one-matrix models the partition function, which is also the τ-function of the forced Toda chain hierarchy is represented as a certain correlator in a model of a free massless scalar field on a sphere. This implies a systematic approach for building up discrete models with explicit W symmetries, which look similar and probably belong to same universality class as conventional multimatrix models. Parallels with the coadjoint orbit method are briefly discussed.

Original languageEnglish
Pages (from-to)99-107
Number of pages9
JournalPhysics Letters B
Issue number1-2
Publication statusPublished - 8 Aug 1991
Externally publishedYes


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