1999/02/05 by Philippe Di Francesco, P. Di Francesco, Emmanuel Guitter +3 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Random Matrices and Applications #cond-mat.stat-mech #hep-th
paper · pdf · doi:10.1016/s0550-3213(99)00187-x
published as Nucl.Phys. B549 (1999) 657-667 · 12 pages, 3 figures, tex, harvmac, epsf
arxiv created 1999/02/05 · openalex publication_date 1999/06/01 · arxiv updated 2009/11/30 · openalex created_date 2020/11/23 · openalex updated_date 2026/07/28
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.