Robert McRae

collaborators

7 papers

math.QA2026

Cocompletions for non-abelian vertex tensor categories

Robert McRae, Cris Negron

It was recently shown by Huang that the category of $C_{1}$ -cofinite modules for any vertex operator algebra $V$ admits a natural braided monoidal structure. Here, we show that this…

math.QA2026

A Tensor Category Construction of the $W_{p, q}$ Triplet Vertex Operator Algebra and Applications

Robert McRae, Valerii Sopin

For coprime $p, q \in Z_{\geq 2}$ , the triplet vertex operator algebra $W_{p, q}$ is a non-simple extension of the universal Virasoro vertex operator algebra of central charge…

math.QA2026

$N = 1$ super Virasoro tensor categories

Thomas Creutzig, Robert McRae, Florencia Orosz Hunziker +1

We show that the category of $C_{1}$ -cofinite modules for the universal $N = 1$ super Virasoro vertex operator superalgebra $S (c, 0)$ at any central charge $c$ is locally fini…

math.QA2026

On rationality for $C_{2}$ -cofinite vertex operator algebras

Robert McRae

Let $V$ be an $N$ -graded, simple, self-contragredient, $C_{2}$ -cofinite vertex operator algebra. We show that if the $S$ -transformation of the character of $V$ is a linear c…

math.QA2025

Commutative algebras in Grothendieck-Verdier categories, rigidity, and vertex operator algebras

Thomas Creutzig, Robert McRae, Kenichi Shimizu +1

Let $A$ be a commutative algebra in a braided monoidal category $C$ ; e.g., $A$ could be an extension of a vertex operator algebra (VOA) $V$ in a category $C$ of…

math.QA2025

The non-semisimple Kazhdan-Lusztig category for affine $sl_{2}$ at admissible levels

Robert McRae, Jinwei Yang

We show that Kazhdan and Lusztig's category $K L^{k} (sl_{2})$ of modules for the affine Lie algebra $sl_{2}$ at an admissible level $k$ , equivalently the c…

Cocompletions for non-abelian vertex tensor categories

A Tensor Category Construction of the Wp,q​ Triplet Vertex Operator Algebra and Applications

N=1 super Virasoro tensor categories

On rationality for C2​-cofinite vertex operator algebras

Commutative algebras in Grothendieck-Verdier categories, rigidity, and vertex operator algebras

The non-semisimple Kazhdan-Lusztig category for affine sl2​ at admissible levels

A Tensor Category Construction of the $W_{p, q}$ Triplet Vertex Operator Algebra and Applications

$N = 1$ super Virasoro tensor categories

On rationality for $C_{2}$ -cofinite vertex operator algebras

The non-semisimple Kazhdan-Lusztig category for affine $sl_{2}$ at admissible levels