Impurity operators in RSOS models

Robert Weston

doi:10.1088/0305-4470/33/48/326

Impurity operators in RSOS models

Robert Weston

Research output: Contribution to journal › Article › peer-review

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_q (s-fraktur sign and l-fraktur sign₂) modules. We present a detailed perturbation theory check of the conjectural correspondence between the physical and mathematical constructions for a particular simple example.

Original language	English
Pages (from-to)	8981-9001
Number of pages	21
Journal	Journal of Physics A: Mathematical and General
Volume	33
Issue number	48
DOIs	https://doi.org/10.1088/0305-4470/33/48/326
Publication status	Published - 8 Dec 2000

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title = "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 Uq (s-fraktur sign and l-fraktur sign2) modules. We present a detailed perturbation theory check of the conjectural correspondence between the physical and mathematical constructions for a particular simple example.",

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N2 - 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 Uq (s-fraktur sign and l-fraktur sign2) modules. We present a detailed perturbation theory check of the conjectural correspondence between the physical and mathematical constructions for a particular simple example.

AB - 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 Uq (s-fraktur sign and l-fraktur sign2) modules. We present a detailed perturbation theory check of the conjectural correspondence between the physical and mathematical constructions for a particular simple example.

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JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

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ER -

Impurity operators in RSOS models

Abstract

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