Observable Algebra in Field Algebra of G-spin Models  

作　　者：蒋立宁 

机构地区：[1]Department of Mathematics

出　　处：《Tsinghua Science and Technology》2003年第5期573-576,共4页清华大学学报（自然科学版（英文版）

基　　金：Supported by the National Natural Science Foundationof China (No.10 0 0 10 2 0 )

摘　　要：Field algebra of G-spin models can provide the simplest examples of lattice field theory exhibiting quantum symmetry. Let D(G) be the double algebra of a finite group G and D(H), a sub-algebra of D(G) determined by subgroup H of G. This paper gives concrete generators and the structure of the observable algebra A H, which is a D(H)-invariant sub-algebra in the field algebra of G-spin models F, and shows that A H is a C *-algebra. The correspondence between H and A H is strictly monotonic. Finally, a duality between D(H) and A H is given via an irreducible vacuum C *-representation of F.Field algebra of G-spin models can provide the simplest examples of lattice field theory exhibiting quantum symmetry. Let D(G) be the double algebra of a finite group G and D(H), a sub-algebra of D(G) determined by subgroup H of G. This paper gives concrete generators and the structure of the observable algebra A H, which is a D(H)-invariant sub-algebra in the field algebra of G-spin models F, and shows that A H is a C *-algebra. The correspondence between H and A H is strictly monotonic. Finally, a duality between D(H) and A H is given via an irreducible vacuum C *-representation of F.

关 键 词：G-spin models field algebra observable algebra DUALITY 

分 类 号：O152.5[理学—数学]