An Algebraic Setting for Defects in the XXZ and Sine-Gordon Models
Jun, 2010Citations per year
Abstract: (arXiv)
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.Note:
- 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
- defect
- sine-Gordon model
- XXZ model
- Hamiltonian
- S-matrix
- soliton
- R-matrix
- transfer matrix
- quantum group: SL(2)
- oscillator
References(32)
Figures(14)