On VOAs Associated to Jordan Algebras of Type $C$
Hongbo Zhao

TL;DR
This paper constructs universal vertex operator algebras linked to type C Jordan algebras and establishes their simplicity, advancing the understanding of algebraic structures in conformal field theory.
Contribution
It introduces a new class of universal VOAs associated with type C Jordan algebras and proves their simplicity, which was previously unknown.
Findings
Construction of universal VOAs linked to type C Jordan algebras
Proof of the simplicity of these VOAs
Establishment of the algebraic structure connecting VOAs and Jordan algebras
Abstract
In this article, we construct certain universal VOAs whose Greiss algebras are type C Jordan algebras. We also prove the corresponding simplicity result.
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 · Advanced Operator Algebra Research
