The University of Queensland

Centre for Mathematical Physics

SEMINAR

Speaker: Jorgen Rasmussen, University of Melbourne

Title: Introduction to W-extended logarithmic minimal models

11am, Tuesday 27^th October, 2009

Room 42-115

Abstract:

Working in the dense loop representation, we use the planar Temperley-Lieb algebra to build an infinite series of Yang-Baxter integrable lattice models. In the continuum scaling limit, they give rise to logarithmic conformal field theories called logarithmic minimal models LM(p,p'). These models contain an infinite number of indecomposable representations of rank 1, 2 or 3. We may nevertheless consider the models as`rational' logarithmic conformal field theories with extended W symmetry and with a finite number of W-indecomposable representations. Using transfer-matrix techniques and a lattice implementation of fusion on the strip, the closed fusion algebra of these representations is determined. It does not contain an identity for p>1.

All interested are invited to attend.

Enquiries to Phillip Isaac email: psi@maths.uq.edu.au