Jumps and twists in affine Toda field theories

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...

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Bibliographic Details
Main Author: Δόικου, Αναστασία
Other Authors: Doikou, Anastasia
Format: Journal (paper)
Language:English
Published: 2018
Subjects:
Online Access:https://doi.org/10.1016/j.nuclphysb.2015.02.002
http://hdl.handle.net/10889/11468
Description
Summary: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.