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Spectrum of local boundary operators from boundary form factor bootstrap

2007/03/26 by M. Szots, M. Szőts, G. Takács +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Algorithm #Black Holes and Theoretical Physics #Boundary (topology) #Boundary conformal field theory #Boundary value problem #Computer science #Conformal map #Correctness #Mathematical analysis #Mathematics #Mixed boundary condition #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum mechanics #Robin boundary condition #Space (punctuation) #Spectrum (functional analysis) #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2007.04.026

published as Nucl.Phys.B785:211-233,2007 · 27 pages, LaTeX2e file

arxiv created 2007/03/26 · openalex publication_date 2007/04/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations