We use cookies to ensure that we give you the best experience on our website. You can change your cookie settings at any time. Otherwise, we'll assume you're OK to continue.

Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

CPT Student Seminar: Defects in affine Toda field theories

Presented by Rebecca Bristow, Durham University

16 March 2015 17:00 in OC218

An affine Toda field theory (ATFT) is simply a field theory based on the affine root vectors of a Lie algebra. A defect in a system is a discontinuity with some defect conditions relating the fields on either side of the defect. Defects in ATFTs have been found to have a momentum-like conserved quantity, which is surprising as the system is no longer translationally invariant. The equations of motion at the defect also give a Backlund transformation for the bulk theories. Solitons can be delayed or advanced by the defect.
Integrable defects have already been found for ATFTs based on the An root vectors. In `a new class of integrable defects' (Corrigan and Zambon, 2009), an extra field which exists only at the defect was introduced and this allowed a description of defects in the Tzitzeica model. Using this method I find a momentum conserving defect for the An, Bn, Cn and Dn ATFTs.

Contact for more information

A gathering of mathematicians from the CPT group with physicists from IPPP, we meet to discuss our work in a relaxed and friendly environment.

An archive of previous years talks is kept here.