Boundary form factors of the sinh-Gordon model with Dirichlet boundary conditions at the self-dual point

TL;DR

This paper investigates the boundary form factors of the sinh-Gordon model with Dirichlet boundary conditions at the self-dual point, proposing a conjecture for their structure and constructing form factors of descendant fields.

Contribution

It extends the boundary form factor program to the sinh-Gordon model with specific boundary conditions, proposing a conjecture for all n-particle form factors of key boundary operators.

Findings

Conjecture for the structure of all n-particle form factors.

Explicit construction of form factors for boundary descendant fields.

Extension of the boundary form factor program to the sinh-Gordon model.

Abstract

In this manuscript we present a detailed investigation of the form factors of boundary fields of the sinh-Gordon model with a particular type of Dirichlet boundary condition, corresponding to zero value of the sinh-Gordon field at the boundary, at the self-dual point. We follow for this the boundary form factor program recently proposed by Z. Bajnok, L. Palla and G. Takaks in hep-th/0603171, extending the analysis of the boundary sinh-Gordon model initiated there. The main result of the paper is a conjecture for the structure of all n-particle form factors of two particular boundary operators in terms of elementary symmetric polynomials in certain functions of the rapidity variables. In addition, form factors of boundary "descendant" fields have been constructed