Quantum integrability of nonultralocal models through Baxterisation of quantised braided algebra

TL;DR

This paper introduces a new scheme using braided algebra Baxterisation to describe quantum nonultralocal models, including supersymmetric and deformed anyonic models, expanding the framework of quantum integrability.

Contribution

It generalizes braided algebras via Baxterisation to construct quantum Yang-Baxter equations for nonultralocal models, enabling the derivation of known and new integrable models.

Findings

Supersymmetric nonultralocal models derived within the scheme

Construction of quantum integrable models like mKdV and anyonic supersymmetric models

Framework extends quantum integrability to broader classes of models

Abstract

A scheme suitable for describing quantum nonultralocal models including supersymmetric ones is proposed. Braided algebras are generalised to be used through Baxterisation for constructing braided quantum Yang--Baxter equations. Supersymmetric and some known nonultralocal models are derived in the framework of the present approach. As further applications of this scheme construction of new quantum integrable nonultralocal models like mKdV and anyonic supersymmetric models including deformed anyonic super algebra are outlined.