Aspects of the dimer model

par Jorgen Rasmussen (University of Queensland, Brisbane)

jeudi 1 oct. 2015, 11:00 → 12:00 Europe/Paris

Auditorium (Annecy-le-Vieux)

The dimer model concerns the number of ways the edges of a finite graph can be covered by dimers so that each vertex is covered exactly once. We will consider the model defined on the square lattice where the enumeration exercise amounts to a domino tiling problem. Following Lieb, we will describe the model using a so-called transfer matrix acting on spin chains. Somewhat surprisingly, this reveals an underlying Temperley-Lieb algebraic structure, allowing us to address the integrability and conformal properties of the model. Efforts will be made to keep the presentation accessible to non-experts.

Slides Annecy_20151001.pdf