Jumps and twists in affine Toda field theories

Abstract

The concept of point-like "jump" defects is investigated in the context of affine Toda field theories. The Hamiltonian formulation is employed for the analysis of the problem. The issue is also addressed when integrable boundary conditions ruled by the classical twisted Yangian are present. In both periodic and boundary cases explicit expressions of conserved quantities as well as the relevant Lax pairs and sewing conditions are extracted. It is also observed that in the case of the twisted Yangian the bulk behavior is not affected by the presence of the boundaries.

19 pages, Latex. A few comments added. Version to appear in NPB. arXiv admin note: text overlap with arXiv:1404.7329

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Cited by in corpus (3)

• Type-II super-Backlund transformation and integrable defects for the N=1 super sinh-Gordon model
• Integrability of generalised type II defects in affine Toda field theory
• Real Hamiltonian forms of affine Toda field theories: spectral aspects