An Algebraic Setting for Defects in the XXZ and Sine-Gordon Models
arXiv:1006.1555
Abstract
We construct defects in the XXZ and sine-Gordon models by making use of the representation theory of quantum affine sl_2. The representations involved are generalisations of the infinite-dimensional, q-oscillator representations used in the construction of Q-operators. We present new results for intertwiners of these representations, and use them to consider both quantum spin-chain Hamiltonians with defects and quantum defects in the sine-Gordon model. We connect specialisations our results with the work of Corrigan and Zambon on type I and type II defects, and present sine-Gordon soliton/defect and candidate defect/defect scattering matrices.
16 pages, 14 figures. The updated version contains substantial changes to connect with the recent work of Corrigan and Zambon on type II sine-Gordon defects, and to include further references
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Cited by in corpus (11)
- Liouville integrable defects: the non-linear Schrodinger paradigm
- A multisymplectic approach to defects in integrable classical field theory
- Integrable defects in affine Toda field theory and infinite dimensional representations of quantum groups
- Sigma models in the presence of dynamical point-like defects
- Defects in the discrete non-linear Schrodinger model
- Classical impurities associated to high rank algebras
- Type-I integrable quantum impurities in the Heisenberg model
- Jumps and twists in affine Toda field theories
- Infinite dimension reflection matrices in the sine-Gordon model with a boundary
- Transmission matrices in gl(N) & U_q(gl(N)) quantum spin chains
- Aspects of defects in integrable quantum field theory