5 papers · 1 filter
Extended Toda lattice hierarchy, extended two-matrix model and c=1 string theory
L. Bonora, C. S. Xiong
We show how the two--matrix model and Toda lattice hierarchy presented in a previous paper can be solved exactly: we obtain compact formulas for correlators of pure tachyonic state…
Two-matrix model and c=1 string theory
L. Bonora, C. S. Xiong
We show that the most general two--matrix model with bilinear coupling underlies string theory. More precisely we prove that constraints, a subset of the corre…
The (N,M)-th KdV hierarchy and the associated W algebra
L. Bonora, C. S. Xiong
We discuss a differential integrable hierarchy, which we call the (N, M)M$ pseudo--differential terms to the…
Multi-matrix models without continuum limit
L. Bonora, C. S. Xiong
We derive the discrete linear systems associated to multi--matrix models, the corresponding discrete hierarchies and the appropriate coupling conditions. We also obtain the $W_{1+\…
Integrable Discrete Linear Systems and One-Matrix Model
L. Bonora, M. Martellini, C. S. Xiong
In this paper we analyze one-matrix models by means of the associated discrete linear systems. We see that the consistency conditions of the discrete linear system lead to the Vira…