Local U(1) symmetry in Y(so(5)) associated with Massless Thirring Model and its Bethe Ansatz

TL;DR

This paper explores the local U(1) symmetry in the SO(5)-related Massless Thirring model, its q-deformation, Bethe ansatz solutions, and the associated Yangian symmetry, providing new insights into its algebraic structure.

Contribution

It introduces the analysis of local U(1) symmetry in the SO(5) Massless Thirring model and its relation to q-deformation and Yangian symmetry, which is a novel approach.

Findings

Solution of the model using Bethe ansatz

Identification of q-deformation of field operators

Analysis of Yangian symmetry in the context

Abstract

The Massless Thirring model associated with SO(5) is solved in terms of the local U(1) symmetry. The local U(1) symmetry is related to q-deformation of four-component field operators due to the nonlinear interaction for differently internal degree of freedom. The Bethe ansatz wavefunction is also discussed. In addition, the local U(1) symmetry in the Yangian associated with SO(5)(Y(SO(5))) is explored.