School Seminars and Colloquia

Solvable critical dense polymers

Statistical Mechanics/Combinatorics Seminar

by Dr. Jorgen Rasmussen


Institution: Department of Mathematics and Statistics, The University of Melbourne
Date: Thu 17th August 2006
Time: 3:15 PM
Location: Sisalkraft Theatre, Architecture (Ground floor),The University of Melbourne

Abstract: We discuss a model for critical dense polymers described in terms of the planar Temperley-Lieb algebra. The model involves a set of commuting transfer matrices satisfying an inversion identity which we solve exactly for finite sizes. The finite-size corrections and the associated selection rules are determined, allowing us to extract the bulk and boundary free energies as well as information on the conformal properties. The latter give rise to a CFT with c=-2 and spectrum corresponding to an infinitely extended Kac table. The physical combinatorics is also discussed.

For More Information: Dr. Iwan Jensen Phone: +61 3 8344 5214 I.Jensen@ms.unimelb.edu.au