The University of Queensland

Centre for Mathematical Physics

SEMINAR

Speaker: Dr Jorgen Rasmussen,

Department of Mathematics and Statistics,

The University of Melbourne

Title: Solvable critical dense polymers

12pm, Wednesday 10^th October, 2007

Priestley Building, room 641

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 conformal field theory with c=-2 and spectrum corresponding to an infinitely extended Kac table.  The physical combinatorics is also discussed.

All interested are invited to attend.

Enquiries to Katrina Hibberd email: keh@maths.uq.edu.au