Form factors of boundary fields for A(2)-affine Toda field theory

TL;DR

This paper develops the boundary form factor program for the A(2)-affine Toda field theory at the self-dual point, providing explicit solutions for boundary form factors and extending known bulk solutions.

Contribution

It presents the first explicit boundary form factor solutions for A(2)-affine Toda theory and introduces minimal solutions for all A(n) cases, enabling future generalizations.

Findings

Solutions for up to four-particle form factors for two field families.

Recovery of known bulk form factors as special cases.

Minimal boundary form factor solutions for all A(n)-affine Toda theories.

Abstract

In this paper we carry out the boundary form factor program for the A(2)-affine Toda field theory at the self-dual point. The latter is an integrable model consisting of a pair of particles which are conjugated to each other and possessing two bound states resulting from the scattering processes 1 +1 -> 2 and 2+2-> 1. We obtain solutions up to four particle form factors for two families of fields which can be identified with spinless and spin-1 fields of the bulk theory. Previously known as well as new bulk form factor solutions are obtained as a particular limit of ours. Minimal solutions of the boundary form factor equations for all A(n)-affine Toda field theories are given, which will serve as starting point for a generalisation of our results to higher rank algebras.