The Critical Ising Model on a M\"obius Strip
Statistical Mechanics
2009-10-30 v2
Abstract
We study the two-dimensional critical Ising model on a M\"obius strip based on a duality relation between conformally invariant boundary conditions. By using a Majorana fermion field theory, we obtain explicit representations of crosscap states corresponding to the boundary states. We also discuss the duality structure of the partition functions.
Keywords
Cite
@article{arxiv.cond-mat/9704039,
title = {The Critical Ising Model on a M\"obius Strip},
author = {Shun-ichi Yamaguchi},
journal= {arXiv preprint arXiv:cond-mat/9704039},
year = {2009}
}
Comments
6 pages, ptptex, to appear in Prog. Theor. Phys