New integrable boundary conditions for the q-deformed supersymmetric U model and Bethe ansatz equations

TL;DR

This paper introduces new integrable boundary conditions for the q-deformed supersymmetric U model, solving them via Bethe ansatz and deriving corresponding equations, advancing understanding of boundary effects in integrable quantum models.

Contribution

It presents novel boundary conditions for the q-deformed supersymmetric U model and derives the associated Bethe ansatz equations, expanding the integrable boundary theory.

Findings

New integrable boundary conditions identified

Bethe ansatz equations derived for these boundary conditions

Enhanced understanding of boundary effects in supersymmetric models

Abstract

New classes of integrable boundary conditions for the q-deformed (or two-parameter) supersymmetric U model are presented. The boundary systems are solved by using the coordinate space Bethe ansatz technique and Bethe ansatz equations are derived.