Inhomogeneous loop models with open boundaries

Research output: Contribution to journalArticlepeer-review


We consider the crossing and non-crossing O(1) dense loop models on a semi-infinite strip, with inhomogeneities (spectral parameters) that preserve the integrability. We compute the components of the ground-state vector and obtain a closed expression for their sum, in the form of Pfaffian and determinantal formulae.

Original languageEnglish (US)
Pages (from-to)6091-6120
Number of pages30
JournalJournal of Physics A: Mathematical and General
Issue number27
StatePublished - Jul 8 2005
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy


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