Representations of affine Nappi-Witten algebras

Yixin Bao; Cuipo Jiang; Yufeng Pei

doi:10.1016/j.jalgebra.2011.05.020

Representations of affine Nappi-Witten algebras

Yixin Bao^*
, Cuipo Jiang
, Yufeng Pei

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

In this paper, we study the representation theory for the affine Lie algebra Ĥ4 associated to the Nappi-Witten model H4. We classify all the irreducible highest weight modules of Ĥ4. Furthermore, we give a necessary and sufficient condition for each Ĥ4-(generalized) Verma module to be irreducible. For reducible ones, we characterize all the linearly independent singular vectors. Finally, we construct Wakimoto type modules for these Lie algebras and interpret this construction in terms of vertex operator algebras and their modules.

Original language	English
Pages (from-to)	111-133
Number of pages	23
Journal	Journal of Algebra
Volume	342
Issue number	1
DOIs	https://doi.org/10.1016/j.jalgebra.2011.05.020
State	Published - 15 Sep 2011
Externally published	Yes

Keywords

Affine Nappi-Witten algebras
Classification of irreducible modules
Highest weight representations
Singular vectors

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10.1016/j.jalgebra.2011.05.020

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AU - Jiang, Cuipo

AU - Pei, Yufeng

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AB - In this paper, we study the representation theory for the affine Lie algebra Ĥ4 associated to the Nappi-Witten model H4. We classify all the irreducible highest weight modules of Ĥ4. Furthermore, we give a necessary and sufficient condition for each Ĥ4-(generalized) Verma module to be irreducible. For reducible ones, we characterize all the linearly independent singular vectors. Finally, we construct Wakimoto type modules for these Lie algebras and interpret this construction in terms of vertex operator algebras and their modules.

KW - Affine Nappi-Witten algebras

KW - Classification of irreducible modules

KW - Highest weight representations

KW - Singular vectors

UR - https://www.scopus.com/pages/publications/79960889623

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JO - Journal of Algebra

JF - Journal of Algebra

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ER -

Representations of affine Nappi-Witten algebras

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Keywords

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