Year: 1996
Type: article
Abstract: In this article, we analyze multimatrix chain models. They can be considered as multicomponent Toda lattice hierarchies subject to suitable coupling conditions. The extension of such models to include extra discrete states requires a weak form of integrability. The discrete states of the q-matrix model are organized in representations of sl q. We solve exactly the Gaussian type models, of which we compute several all-genus correlators. Among the latter models one can classify also the discretized c=1 string theory, which we revisit using Toda lattice hierarchy methods. Finally, we analyze the topological field theory content of the 2q-matrix models: we define primary fields (which are ∞q), metrics and structure constants, and prove that they satisfy the axioms of topological field theories. We outline a possible method for extracting interesting topological field theories with a finite number of primaries.
Authors: L. BONORA, F. NESTI, E. VINTELER
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2015940824