# Jordanian deformation of the open XXX-spin chain

## TL;DR

This paper derives the reflection equation solution for the jordanian-deformed XXX-spin chain, explores its spectrum, and connects it to the XXZ-model through a scaling limit, providing explicit Hamiltonian formulations.

## Contribution

It presents the first explicit solution to the reflection equation for the jordanian-deformed XXX-spin chain and derives its Hamiltonian with boundary terms.

## Key findings

- Solution to the reflection equation for the jordanian deformation
- Explicit Hamiltonian with boundary terms derived
- Spectrum structure depends on boundary conditions

## Abstract

The general solution to the reflection equation associated with the jordanian deformation of the SL(2) invariant Yang R-matrix is found. The same K-matrix is obtained by the special scaling limit of the XXZ-model with general boundary conditions. The Hamiltonian with the boundary terms is explicitly derived according to the Sklyanin formalism. We discuss the structure of the spectrum of the deformed XXX-model and its dependence on the boundary conditions.