Spectrum of local boundary operators from boundary form factor bootstrap

TL;DR

This paper uses boundary form factor bootstrap equations to classify local boundary operators in specific integrable models, confirming the framework's consistency with boundary conformal field theory.

Contribution

It maps the full solution space of boundary form factors to the boundary operator spectrum, validating the bootstrap approach for these models.

Findings

Solution space matches boundary conformal field theory spectrum

Bootstrap equations correctly reproduce local boundary operators

Provides evidence for the validity of boundary form factor bootstrap

Abstract

Using the recently introduced boundary form factor bootstrap equations, we map the complete space of their solutions for the boundary version of the scaling Lee-Yang model and sinh-Gordon theory. We show that the complete space of solutions, graded by the ultraviolet behaviour of the form factors can be brought into correspondence with the spectrum of local boundary operators expected from boundary conformal field theory, which is a major evidence for the correctness of the boundary form factor bootstrap framework.