Deformation of the Wakimoto construction
A. Abada, A.H. bougourzi, M.A. El Gradechi
TL;DR
This paper extends the Wakimoto construction to the $su(2)_k$ quantum current algebra and related parafermion algebra using deformed free boson fields, providing explicit vertex operators for quantum spin-$j$ representations.
Contribution
It introduces a novel deformation-based extension of the Wakimoto construction to quantum algebras and explicitly constructs vertex operators for quantum spin-$j$ representations.
Findings
Extended Wakimoto construction to $su(2)_k$ quantum algebra
Developed deformations of classical free boson fields
Constructed vertex operators for quantum spin-$j$ representations
Abstract
We present the extension of the Wakimoto construction to the quantum current algebra and its associated quantum parafermion algebra. This construction is achieved in terms of various deformations of three classical free boson fields. We also give the vertex operators corresponding to the quantum spin- representation.
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.