Solving topological defects via fusion

Z. Bajnok, Zs Simon

Research output: Contribution to journalArticle

31 Citations (Scopus)


Integrable defects in two-dimensional integrable models are purely transmitting thus topological. By fusing them to integrable boundaries new integrable boundary conditions can be generated, and, from the comparison of the two solved boundary theories, explicit solutions of defect models can be extracted. This idea is used to determine the transmission factors and defect energies of topological defects in sinh-Gordon and Lee-Yang models. The transmission factors are checked in Lagrangian perturbation theory in the sinh-Gordon case, while the defect energies are checked against defect thermodynamic Bethe ansatz equations derived to describe the ground-state energy of diagonal defect systems on a cylinder. Defect bootstrap equations are also analyzed and are closed by determining the spectrum of defect bound-states in the Lee-Yang model.

Original languageEnglish
Pages (from-to)307-329
Number of pages23
JournalNuclear Physics B
Issue number3
Publication statusPublished - Oct 21 2008

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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