The Vertex Algebra M(1)+ and Certain Affine Vertex Algebras of Level-1

被引：8
|
作者：
Adamovic, Drazen [1 ]
Perse, Ozren [1 ]
机构：
[1] Univ Zagreb, Dept Math, Fac Sci, Bijenicka Cesta 30, Zagreb 10000, Croatia
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2012年 / 8卷
关键词：
vertex operator algebra; affine Kac-Moody algebra; coset vertex algebra; conformal embedding; W-algebra; MODULAR INVARIANT REPRESENTATIONS; OPERATOR-ALGEBRAS; LIE-ALGEBRAS; IRREDUCIBLE MODULES; CLASSIFICATION;
D O I：
10.3842/SIGMA.2012.040
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a coset realization of the vertex operator algebra M(1)(+) with central charge l. We realize M(1)(+) as a commutant of certain affine vertex algebras of level -1 in the vertex algebra L-Cl (1) (-1/2 Lambda(0)) circle times L-Cl (1) (-1/2 Lambda(0)). We show that the simple vertex algebra L-Cl (1) (-1 Lambda(0)) can be (conformally) embedded into LA2l-1(1) (-Lambda(0)) and find the corresponding decomposition. We also study certain coset subalgebras inside L-Cl (1)(Lambda(0)).
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页数：16
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