Abstract
A folding process is applied to fused defects to construct defects for the non-simply laced affine Toda field theories of , and at the classical level. Support for the hypothesis that these defects are integrable in the folded theories is given by the demonstration that energy and momentum are conserved. Further support is provided by the observation that transmitted solitons retain their form.
Highlights
The subject of affine Toda field theory (ATFT) has seen an upsurge of interest due to the discovery of integrable defects
Compare this to the discovery of solitons [10] was rapidly followed solitons in ATFT, by solitons in the where the construction of ar(1) and other models [11, 12]; or to how the discovery of integrable boundary conditions in the sine–Gordon model [13] was soon extended to all other ATFTs [14]
The different ATFTs have similar properties so it is expected that defects should exist for all of the ATFTs—as such, an overarching goal in this field is to find and investigate the properties of all of the possible defects
Summary
The subject of affine Toda field theory (ATFT) has seen an upsurge of interest due to the discovery of integrable defects. Whilst much is known about defects in the sine–Gordon model [1,2,3,4,5,6,7]; the same cannot be said about the ATFTs in general. Far only for the ar(1) [8] and a2(2) [9] models do integrable defects exist in the literature—even at the classical level—despite the search for defect Lagrangians in ATFT having been initiated a decade ago [2].
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