Ultralocal solutions for quantum integrable nonultralocal models

TL;DR

This paper establishes connections between nonultralocal and ultralocal quantum integrable models, completing previous work and revealing the algebraic structures underlying these models.

Contribution

It identifies gauge transformations linking all nonultralocal models to ultralocal ones and uncovers their algebraic structures, including two new models.

Findings

All nonultralocal models can be connected to ultralocal models via gauge transformations.

The algebraic structures of these models are explicitly characterized.

Two new nonultralocal models are introduced and analyzed.

Abstract

A challenge in the theory of integrable systems is to show for every nonultralocal quantum integrable model, a possible connection to an ultralocal model. Some of such gauge connections were discovered earlier. We complete the task by identifying the same for the remaining ones along with two new models. We also unveil the underlying algebraic structure for these nonultralocal models.