An Algebraic Setting for Defects in the XXZ and Sine-Gordon Models

Details An Algebraic Setting for Defects in the XXZ and Sine-Gordon Models An Algebraic Setting for Defects in the XXZ and Sine-Gordon Models

2010-06-08

arxiv.org/abs/1006.1555v2

Physics

Mathematical Physics

16 pages, 14 figures. The updated version contains substantial changes to connect with the recent work of Corrigan and Zambon

Scientific paper

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.

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