Solvable critical dense polymers
by Dr. Jorgen Rasmussen
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