Soliton equations solved by the boundary CFT

TL;DR

This paper derives soliton equations from boundary conformal field theory (CFT), showing classical soliton fields as bound states of BCFT solitons, and calculates boundary effects on soliton amplitude.

Contribution

It introduces a novel connection between soliton equations and boundary CFT, providing explicit calculations of boundary effects on soliton properties.

Findings

Soliton equations characterize boundary CFT.

Classical soliton fields are bound states of BCFT solitons.

Soliton amplitude is frozen at the Dirichlet boundary limit.

Abstract

Soliton equations are derived which characterize the boundary CFT a la Callan et al. Soliton fields of classical soliton equations are shown to appear as a neutral bound state of a pair of soliton fields of BCFT. One soliton amplitude under the influence of the boundary is calculated explicitly and is shown that it is frozen at the Dirichlet limit.