Soliton-preserving boundary condition in affine Toda field theories

TL;DR

This paper introduces a novel integrable boundary condition in affine Toda field theories that preserves solitons during reflection, unlike previous conditions that converted solitons into antisolitons, and proves its integrability.

Contribution

It presents a new soliton-preserving boundary condition in affine Toda theories and demonstrates its integrability using a generalized Sklyanin formalism.

Findings

Boundary condition preserves solitons upon reflection.

Proves integrability of the new boundary condition.

Contrasts with previous conditions that convert solitons to antisolitons.

Abstract

We give a new integrable boundary condition in affine Toda theory which is soliton-preserving in the sense that a soliton hitting the boundary is reflected as a soliton. All previously known integrable boundary conditions forced a soliton to be converted into an antisoliton upon reflection. We prove integrability of our boundary condition using a generalization of Sklyanin's formalism.