An Izergin-Korepin-type identity for the 8VSOS model, with applications to alternating sign matrices
Artikel i vetenskaplig tidskrift, 2009

We obtain a new expression for the partition function of the 8VSOS model with domain wall boundary conditions, which we consider to be the natural extension of the Izergin-Korepin formula for the six-vertex model. As applications, we find dynamical (in the sense of the dynamical Yang-Baxter equation) generalizations of the enumeration and 2-enumeration of alternating sign matrices. The dynamical enumeration has a nice interpretation in terms of three-colourings of the square lattice.


Hjalmar Rosengren

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

Advances in Applied Mathematics

0196-8858 (ISSN) 1090-2074 (eISSN)

Vol. 43 2 137-155