Boundary bootstrap principle in two-dimensional integrable quantum field theories

TL;DR

This paper investigates boundary reflection amplitudes in affine Toda field theories, especially the E_n series, revealing complex relations between bound state spectra in minimal and dressed cases.

Contribution

It introduces a detailed analysis of boundary reflection amplitudes in affine Toda theories, focusing on higher order poles and the boundary bootstrap principle.

Findings

Higher order poles in E_n series reflection amplitudes

Complex relations between bound state spectra in minimal and dressed amplitudes

Enhanced understanding of boundary bootstrap in integrable quantum field theories

Abstract

We study the reflection amplitudes of affine Toda field theories with boundary, following the ideas developed by Fring and Koberle and focusing our attention on the $E_{n}$ series elements, because of their interesting structure of higher order poles. We also investigate the corresponding minimal reflection matrices, finding, with respect to the bulk case, a more complicated relation between the spectra of bound states associated to the minimal and to the ''dressed'' amplitudes.