Vertex operators in solvable lattice models
High Energy Physics - Theory
2009-10-22 v1 Exactly Solvable and Integrable Systems
solv-int
Abstract
We formulate the basic properties of q-vertex operators in the context of the Andrews-Baxter-Forrester (ABF) series, as an example of face-interaction models, derive the q-difference equations satisfied by their correlation functions, and establish their connection with representation theory. We also discuss the q-difference equations of the Kashiwara-Miwa (KM) series, as an example of edge-interaction models. Next, the Ising model--the simplest special case of both ABF and KM series--is studied in more detail using the Jordan-Wigner fermions. In particular, all matrix elements of vertex operators are calculated.
Cite
@article{arxiv.hep-th/9305100,
title = {Vertex operators in solvable lattice models},
author = {Omar Foda and Michio Jimbo and Tetsuji Miwa and Kei Miki and Atsushi Nakayashiki},
journal= {arXiv preprint arXiv:hep-th/9305100},
year = {2009}
}
Comments
41 pages