Integrability of Supersymmetric Quantum Matrix Models in the 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.

11 pages, LaTeX2e; minor changes, citations added

References in corpus (4)

• Matrix String Theory
• The Spectrum of a Large N Gauge Theory Near Transition from Confinement to Screening
• On the solution of a supersymmetric model of correlated electrons
• Symmetries of Large N Matrix Models for Closed Strings

Cited by in corpus (4)

• Planar Quantum Mechanics: an Intriguing Supersymmetric Example
• A Review of Symmetry Algebras of Quantum Matrix Models in the Large-N Limit
• Fock space methods and large N
• String bit models of two-dimensional quantum gravity coupled with matter