Integrability of Supersymmetric Quantum Matrix Models in the Large-N Limit

TL;DR

This paper explores the exact solvability of supersymmetric quantum matrix models in the large-N limit using the Bethe ansatz, with toy models based on Hubbard and t-J models illustrating the approach.

Contribution

It introduces a method to solve supersymmetric quantum matrix models exactly in the large-N limit, extending the applicability of the Bethe ansatz to these systems.

Findings

Exact solutions for certain supersymmetric matrix models

Construction of toy models from Hubbard and t-J models

Demonstration of Bethe ansatz applicability in large-N limit

Abstract

Many physical systems like supersymmetric Yang-Mills theories are formulated as quantum matrix models. We discuss how to apply the Beth ansatz to exactly solve some supersymmetric quantum matrix models in the large-N limit. Toy models are constructed out of the one-dimensional Hubbard and t-J models as illustrations.