Classification of solutions to the reflection equation for two-component systems

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	Classification of solutions to the reflection equation for two-component systems
	Liu, CX ; Ju, GX ; Wang, SK ; Wu, K
	1999-05-14
发表期刊	JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN	0305-4470
卷号	32 期号:19 页码:3505-3523
摘要	The symmetries, especially those related to the R-transformation, of the reflection equation (RE) for two-component systems are analysed. The classification of solutions to the RE for eight-, six- and seven-vertex-type R-matrices is given. All solutions can be obtained from those corresponding to the standard R-matrices by K-transformation. For the free-fermion models, the boundary matrices have property tr K+ (0) = 0, and the free-fermion-type R-matrix with the same symmetry as that of a Baxter type corresponds to the same form of a K-matrix for the Baxter type. We present the Hamiltonians for the open spin systems connected with our solutions. In particular, the boundary Hamiltonian of seven-vertex models is obtained with a generalization to the Sklyanin formalism.
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000080541800007
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14253
专题	中国科学院数学与系统科学研究院
通讯作者	Ju, GX
作者单位	1.Henan Normal Univ, Dept Phys, Xinxiang 453002, Henan, Peoples R China 2.CCAST, World Lab, Beijing 100080, Peoples R China 3.Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China 4.Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, CX,Ju, GX,Wang, SK,et al. Classification of solutions to the reflection equation for two-component systems[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,1999,32(19):3505-3523.
APA	Liu, CX,Ju, GX,Wang, SK,&Wu, K.(1999).Classification of solutions to the reflection equation for two-component systems.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,32(19),3505-3523.
MLA	Liu, CX,et al."Classification of solutions to the reflection equation for two-component systems".JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 32.19(1999):3505-3523.