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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 rebecca.bristow@durham.ac.uk 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.