Flag Integrable Models and Generalized Graded Algebras

TL;DR

This paper introduces new integrable models with flag vector space structures, providing their Hamiltonians, R-matrices, and Bethe-ansatz solutions, and reveals a novel generalized graded algebra symmetry.

Contribution

It presents a new class of integrable models with flag vector space structures and a unique generalized graded algebra symmetry.

Findings

Explicit Hamiltonians and R-matrices for the models

Bethe-ansatz solutions derived

Identification of a new generalized graded algebra symmetry

Abstract

We introduce new classes of integrable models that exhibit a structure similar to that of flag vector spaces. We present their Hamiltonians, R-matrices and Bethe-ansatz solutions. These models have a new type of generalized graded algebra symmetry.