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)).

引用

页数：16

共 31 条

[1]

Adamovic D., 2003, INT J MATH MATH SCI, P971, DOI DOI 10.1155/S0161171203201058

[2] On the triplet vertex algebra W(p) [J].