河南大学学报（自然科学版）
河南大學學報（自然科學版）
하남대학학보（자연과학판）
JOURNAL OF HENAN UNIVERSITY(NATURAL SCIENCE)
2009年
6期
551-557
,共7页
仿射李代数%局部子空间%顶点代数模
倣射李代數%跼部子空間%頂點代數模
방사리대수%국부자공간%정점대수모
affine Lie algebra%local subspace%modules of vertex algebra
根据 untwisted 和 twisted顶点算子张成的极大局部子空间能够定义顶点代数结构,考虑李代数s l(2,C)的仿射李代数的顶点算子表示V_Q, V_P,V_(P±(1)/(6)α1),发现 V_P,V_(P-(1)/(6)α1),V_(P+(1)/(6)α1)构成这些顶点代数的模,而这种顶点代数模结构可能在二维共形场论中有重要应用.
根據 untwisted 和 twisted頂點算子張成的極大跼部子空間能夠定義頂點代數結構,攷慮李代數s l(2,C)的倣射李代數的頂點算子錶示V_Q, V_P,V_(P±(1)/(6)α1),髮現 V_P,V_(P-(1)/(6)α1),V_(P+(1)/(6)α1)構成這些頂點代數的模,而這種頂點代數模結構可能在二維共形場論中有重要應用.
근거 untwisted 화 twisted정점산자장성적겁대국부자공간능구정의정점대수결구,고필리대수s l(2,C)적방사리대수적정점산자표시V_Q, V_P,V_(P±(1)/(6)α1),발현 V_P,V_(P-(1)/(6)α1),V_(P+(1)/(6)α1)구성저사정점대수적모,이저충정점대수모결구가능재이유공형장론중유중요응용.
According to constructions of vertex operator representations V_Q, V_P,V_(P±(1)/(6)α1) of affine Lie algebras associated to S l(2, (C) ) , the paper finds that V_P,V_(P-(1)/(6)α1),V_(P+(1)/(6)α1) are indeed modules of some vertex algebras on maximal local spaces spanned by untwisted and twisted vertex operators. These structures of muldes of vertex algebras may have important applications in the theory of two-dimensional conformal fields.
