Impurity Operators in RSOS Models
Mathematical Physics
2009-10-31 v3 math.MP
Quantum Algebra
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 modules. We present a detailed perturbation theory check of the conjectural correspondence between the physical and mathematical constructions in a particular simple example.
Cite
@article{arxiv.math-ph/0003045,
title = {Impurity Operators in RSOS Models},
author = {Robert Weston},
journal= {arXiv preprint arXiv:math-ph/0003045},
year = {2009}
}
Comments
Latex, 24 pages, uses amsmath, amsthm, amssymb, epic, eepic and texdraw style files (Minor typos corrected) (minor changes)