Representations of affine Nappi-Witten algebras
Yixin Bao, Cuipo Jiang, Yufeng Pei

TL;DR
This paper classifies irreducible modules and constructs Wakimoto modules for the affine Nappi-Witten algebra, providing a detailed understanding of its representation theory and module structure.
Contribution
It introduces a complete classification of irreducible highest weight modules and constructs Wakimoto modules for the affine Nappi-Witten algebra, linking to vertex operator algebra theory.
Findings
Classification of all irreducible highest weight modules
Necessary and sufficient conditions for module irreducibility
Construction of Wakimoto type modules
Abstract
In this paper, we study the representation theory for the affine Lie algebra \H associated to the Nappi-Witten model . We classify all the irreducible highest weight modules of \H. Furthermore, we give a necessary and sufficient condition for each \H-(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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons
