Heriot-Watt Mathematics Report Series
HWM00-6, 30 Mar 2000

Impurity Operators in RSOS Models

R A Weston


Abstract

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 $U(\widehat{sl}_2)_q$ modules. We present a detailed perturbation theory check of the correspondence between the physical and mathematical constructions.

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Full text: http://www.ma.hw.ac.uk/~robertw/papers/rsosimp.ps

Publication

R A Weston , Impurity operators in RSOS models, J Phys A: Math. Gen, 33, 8981-9001, (2000).


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