Shun Xu

collaborators

4 papers

math.RT2026

Exactness and Drinfeld-Sokolov Realization of the McRae-Yang Tensor Functors

Shun Xu

Let $p, q \geq 2$ 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_…

math.QA2026

$C_{2}$ -Cofiniteness and Rationality of the Icosahedral Orbifold $V_{L_{2}}^{A_{5}}$

Shun Xu

Let $L_{2} = Z α$ be the rank-one root lattice with $(α, α) = 2$ , and let $A_{5}$ act on the lattice vertex operator algebra $V_{L_{2}}$ through an icosahedral subgroup of $\operatorn…

math.QA2026

Twisted associative algebras and intertwining operators

Shun Xu

For a vertex algebra $V$ with a finite-order automorphism $g$ satisfying $g^{T} = 1$ for some $T \in N$ , we construct an associative algebra $\tilde{\mathbf{A}}^{g,\infty}(V…

math.QA2025

Refining twisted bimodules associated to VOAs

Shun Xu, Jianzhi Han

Let $V$ be a vertex operator algebra and $g$ an automorphism of $V$ of finite order $T$ . For any $m, n \in (1/ T) N$ , an $A_{g, n} (V) - A_{g, m} (V)$ bimodule $A_{g,n, m}(V)=V…

Exactness and Drinfeld-Sokolov Realization of the McRae-Yang Tensor Functors

C2​-Cofiniteness and Rationality of the Icosahedral Orbifold VL2​A5​​

Twisted associative algebras and intertwining operators

Refining twisted bimodules associated to VOAs

$C_{2}$ -Cofiniteness and Rationality of the Icosahedral Orbifold $V_{L_{2}}^{A_{5}}$