Fully packed O(n = 1) model on random eulerian triangulations

P. Di Francesco, E. Guitter, C. Kristjansen

Research output: Contribution to journalArticlepeer-review


We introduce a matrix model describing the fully packed O(n) model on random Eulerian triangulations (i.e. triangulations with all vertices of even valency). For n = 1 the model is mapped onto a particular gravitational 6-vertex model with central charge c = 1, hence displaying the expected shift c → c + 1 when going from ordinary random triangulations to Eulerian ones. The case of arbitrary n is also discussed.

Original languageEnglish (US)
Pages (from-to)657-667
Number of pages11
JournalNuclear Physics B
Issue number3
StatePublished - Jun 7 1999
Externally publishedYes


  • Fully packed o(n) model
  • Gravitational 6-vertex model
  • Meanders
  • Random eulerian lattice
  • Zero-temperature anti-ferromagnetic ising model

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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