Impurity Operators in RSOS Models

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 conjectural correspondence between the physical and mathematical constructions in a particular simple example.

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

References in corpus (2)

• Vertex Models with Alternating Spins
• The Monodromy Matrices of the XXZ Model in the Infinite Volume Limit