Virasoro character identities from the Andrews--Bailey construction
Omar Foda, Yas-Hiro Quano

TL;DR
This paper proves new q-series identities linking bosonic and fermionic forms of Virasoro characters, confirming some conjectures and using Bailey's lemma extensions.
Contribution
It introduces a novel application of Andrews' Bailey lemma extensions to establish Virasoro character identities, including conjectured cases.
Findings
Proved q-series identities between bosonic and fermionic Virasoro characters
Confirmed some conjectures from the Stony Brook group
Applied Bailey's lemma extensions to polynomial identities
Abstract
We prove -series identities between bosonic and fermionic representations of certain Virasoro characters. These identities include some of the conjectures made by the Stony Brook group as special cases. Our method is a direct application of Andrews' extensions of Bailey's lemma to recently obtained polynomial identities.
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.
