Impurity Operators in RSOS Models

Details Impurity Operators in RSOS Models Impurity Operators in RSOS Models

2000-03-31

arxiv.org/abs/math-ph/0003045v3

Physics

Mathematical Physics

Latex, 24 pages, uses amsmath, amsthm, amssymb, epic, eepic and texdraw style files (Minor typos corrected) (minor changes)

Scientific paper

10.1088/0305-4470/33/48/326

We give a construction of impurity operators in the `algebraic analysis' picture of RSOS models. Physically, these operators are half-infinite insertions of certain fusion-RSOS Boltzmann weights. They are the face analogue of insertions of higher spin lines in vertex models. Mathematically, they are given in terms of intertwiners of $U(\hat{sl}_2)_q$ modules. We present a detailed perturbation theory check of the conjectural correspondence between the physical and mathematical constructions in a particular simple example.

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