Bethe equations for generalized Hubbard models

TL;DR

This paper derives Bethe equations for a class of generalized Hubbard models based on superalgebras, revealing similarities to the standard Hubbard model and exploring connections to AdS/CFT and condensed matter physics.

Contribution

It provides explicit eigenfunctions, energies, and Bethe equations for new integrable models based on gl(n|m) superalgebras, extending the understanding of Hubbard models.

Findings

Bethe equations resemble those of the standard Hubbard model with a phase shift.

Connections established between these models and AdS/CFT correspondence.

Potential implications for condensed matter physics applications.

Abstract

We compute the eigenfunctions, energies and Bethe equations for a class of generalized integrable Hubbard models based on gl(n|m)\oplus gl(2) superalgebras. The Bethe equations appear to be similar to the Hubbard model ones, up to a phase due to the integration of a subset of `simple' Bethe equations. We discuss relations with AdS/CFT correspondence, and with condensed matter physics.