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

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. Takacs [1], 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 the boundary operators ∂xφ and (∂xφ) 2 in terms of elementary symmetric polynomials in certain functions of the rapidity variables. In addition, form factors of boundary “descendant” fields have been constructed. PACS numbers: 11.10Kk; 11.55Ds; 11.15Tk.