Representations of affine Nappi-Witten algebras

Details Representations of affine Nappi-Witten algebras Representations of affine Nappi-Witten algebras

2011-04-20

arxiv.org/abs/1104.3921v1

Mathematics

Quantum Algebra

26 pages

Scientific paper

In this paper, we study the representation theory for the affine Lie algebra $\H$ associated to the Nappi-Witten model $H_{4}$. 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.

Affiliated with

Also associated with

No associations

Rating

Representations of affine Nappi-Witten algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Representations of affine Nappi-Witten algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Representations of affine Nappi-Witten algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-431788