Including a phase in the Bethe equations of the Hubbard model

TL;DR

This paper derives the Bethe equations for generalized Hubbard models, explores their thermodynamic limit, and connects them to AdS/CFT, providing insights into integrable multi-leg Hubbard models in condensed matter physics.

Contribution

It introduces a phase into the Bethe equations of Hubbard models and links these to AdS/CFT, advancing understanding of integrable systems and their physical interpretations.

Findings

Derived Bethe equations for generalized Hubbard models.

Connected these equations to AdS/CFT dressing phase.

Interpreted models as multi-leg Hubbard systems.

Abstract

We compute the Bethe equations of generalized Hubbard models, and study their thermodynamical limit. We argue how they can be connected to the ones found in the context of AdS/CFT correspondence, in particular with the so-called dressing phase problem. We also show how the models can be interpreted, in condensed matter physics, as integrable multi-leg Hubbard models.