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Birman-Wenzl-Murakami Algebra and Topological Basis

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【作者】 周成城； 薛康； 王刚成； 孙春芳； 都桂娇；

【Author】 ZHOU Cheng-Cheng,XUE Kang,WANG Gang-Cheng,SUN Chun-Fang,and DU Gui-Jiao School of Physics,Northeast Normal University,Changchun 130024,China

【机构】 School of Physics,Northeast Normal University；

【摘要】 In this paper,we use entangled states to construct 9 × 9-matrix representations of Temperley-Lieb algebra(TLA),then a family of 9× 9-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 ninedimensional BWMA into its three-dimensional counterpart.Finally,we find the topological basis states are spin singlet states in special case.

【Abstract】 In this paper,we use entangled states to construct 9 × 9-matrix representations of Temperley-Lieb algebra(TLA),then a family of 9× 9-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 ninedimensional BWMA into its three-dimensional counterpart.Finally,we find the topological basis states are spin singlet states in special case.

【关键词】 Birman-Wenzl-Murakami algebra； topological basis； entanglement；
【Key words】 Birman-Wenzl-Murakami algebra； topological basis； entanglement；
【基金】 Supported by National Natural Science Foundation of China under Grant No. 10875026
  • 【文献出处】 Communications in Theoretical Physics ,理论物理通讯(英文版) , 编辑部邮箱 ,2012年02期
  • 【分类号】O413.1;O189
  • 【下载频次】9
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