From Virasoro Constraints in Kontsevich's Model to $\mathcal{W}$-constraints in 2-matrix Models

Abstract

The Ward identities in Kontsevich-like 1-matrix models are used to prove at the level of discrete matrix models the suggestion of Gava and Narain, which relates the degree of potential in asymmetric 2-matrix model to the form of $\mathcal{W}$-constraints imposed on its partition function.

13 pages (August 1991)

References in corpus (1)

• On Equivalence of Topological and Quantum 2d Gravity

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• R-Matrix Formulation of KP Hierarchies and their Gauge Equivalence
• Exact 2-point function in Hermitian matrix model
• Adjoint Fermion Matrix Models
• Conifold geometries, topological strings and multi-matrix models
• Spectral curves and $W$-representations of matrix models
• Challenges of Matrix Models
• On Equivalence of two Hurwitz Matrix Models
• Two $\beta$-ensemble realization of $\beta$-deformed WLZZ models
• Models of the Universe based on Jordan algebras
• A model for emergence of space and time
• On the Connection Between 2d Topological Gravity and the Reduced Hermitian Matrix Model
• $W_{1+\infty }$ and $\tilde{W}$ algebras, and Ward identities
• Creating 3, 4, 6 and 10-dimensional spacetime from W3 symmetry
• Generalized $\tilde{W}$ algebras
• $W$-representations of two-matrix models with infinite set of variables
• $\beta$-WLZZ models from $\beta$-ensemble integrals directly
• Exact Correlators of Two-Matrix Models
• Phases in WLZZ Matrix Models
• Towards mixed phase correlators in monomial matrix models
• Tau functions of the UC hierarchy as partition functions of matrix models