CPT Student Seminar: Defects in affine Toda field theories
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.
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A gathering of mathematicians from the CPT group with physicists from IPPP, we meet to discuss our work in a relaxed and friendly environment.
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