Bosonic Realization of Boundary Operators in $SU(2)$-invariant Thirring Model

TL;DR

This paper develops a bosonic framework for boundary operators in the $SU(2)$-invariant Thirring model, utilizing bosonization and oscillator realizations of algebraic structures to deepen understanding of boundary states.

Contribution

It introduces a novel bosonic realization of boundary operators and states in the $SU(2)$-invariant Thirring model, connecting boundary phenomena with algebraic structures.

Findings

Constructed bosonic representations of boundary operators.

Established oscillator realizations of boundary Zamolodchikov-Faddeev algebra.

Enhanced understanding of boundary states in integrable models.

Abstract

Boundary operators and boundary states in $SU(2)$-invariant Thirring model are considered from the point of view of bosonization and oscillator realizations of bulk and boundary Zamolodchikov-Faddeev algebras.