Year: 2026
Type: preprint
Abstract: Let $p,q\ge 2$ be coprime, set $k=-2+p/q$, $k'=-2+q/p$, and let $c_{p,q}=1-6(p-q)^2/(pq)$. We prove that the McRae--Yang functors $F_{p,q}\colon KL^k(\mathfrak{sl}_2)\to\mathcal O_{c_{p,q}}$ and $F_{q,p}\colon KL^{k'}(\mathfrak{sl}_2)\to\mathcal O_{c_{p,q}}$ are exact and faithful, and, as $\mathbb C$-linear functors, are naturally isomorphic to the corresponding principal quantum Drinfeld--Sokolov reductions. Their restrictions to projective objects are fully faithful.
Source: arXiv (Cornell University)
Author: Xu, Shun
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7203648229