Birman-Wenzl-Murakami Algebra and the Topological Basis
Quantum Physics
2015-05-30 v1
Abstract
In this paper, we use entangled states to construct 9x9-matrix representations of Temperley-Lieb algebra (TLA), then a family of 9x9-matrix representations of Birman-Wenzl-Murakami algebra (BWMA) have been presented. Based on which, three topological basis states have been found. And we apply topological basis states to recast nine-dimensional BWMA into its three-dimensional counterpart. Finally, we find the topological basis states are spin singlet states in special case.
Cite
@article{arxiv.1110.4419,
title = {Birman-Wenzl-Murakami Algebra and the Topological Basis},
author = {Chengcheng Zhou and Kang Xue and Gangcheng Wang and Chunfang Sun and Guijiao Du},
journal= {arXiv preprint arXiv:1110.4419},
year = {2015}
}
Comments
11pages, 1 figure