LEVEL-RANK DUALITY FOR VERTEX OPERATOR ALGEBRAS OF TYPES B AND D

被引：6

作者：

Jiang, Cuipo ^{[1
]}

Lam, Ching Hung ^{[2
]}

机构：

[1] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China

[2] Acad Sinica, Inst Math, Taipei, Taiwan

来源：

BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES | 2019年 / 14卷 / 01期

关键词：

Level rank duality; vertex operator algebras; affine Lie algebras; W-ALGEBRAS; REPRESENTATIONS; VIRASORO; AFFINE; DECOMPOSITION; EXTENSIONS;

D O I：

10.21915/BIMAS.2019103

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For the simple Lie algebra 50(m), we study the commutant vertex operator algebra of L (50) over cap (m)(n,0) in the n-fold tensor product L (50) over cap (m) (1,0)(circle times n). It turns out that this commutant vertex operator algebra can be realized as a fixed point subalgebra of L (50) over cap (n) (m, 0) (or its simple current extension) associated with a certain abelian group. This result may be viewed as a version of level-rank duality.

引用

页码：31 / 54

页数：24

共 18 条

[1] LEVEL-RANK DUALITY FOR VERTEX OPERATOR ALGEBRAS OF TYPES B AND D (vol 14, pg 31, 2019)
Jiang, Cuipo
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BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 2019, 14 (03): : 385 - 388
[2] TENSOR DECOMPOSITION, PARAFERMIONS, LEVEL-RANK DUALITY, AND RECIPROCITY LAW FOR VERTEX OPERATOR ALGEBRAS
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[9] Duality structures for representation categories of vertex operator algebras and the Feigin-Fuchs boson
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[10] Orbifolds of lattice vertex operator algebras at d=48 and d=72
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