1997/11/06 by P. Di Francesco, B. Eynard, E. Guitter · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #cond-mat #hep-th #math.QA #q-alg
paper · pdf · doi:10.1016/s0550-3213(98)00037-6
published as Nucl.Phys. B516 (1998) 543-587 · 50 pages, 4 figures, Tex, uses harvmac, epsf
arxiv created 1997/11/06 · openalex publication_date 1998/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We introduce and solve a two-matrix model for the tri-coloring problem of the vertices of a random triangulation. We present three different solutions: (i) by orthogonal polynomial techniques (ii) by use of a discrete Hirota bilinear equation (iii) by direct expansion. The model is found to lie in the universality class of pure two-dimensional quantum gravity, despite the non-polynomiality of its potential.