activity
20102026
most citedTensor categories for vertex operator superalgebra extensions

92 citations · 424 across the 31 of their papers we have counts for

collaborators

32 papers

math.QA2026

The Kazhdan-Lusztig category of at irrational levels

Thomas Creutzig, Robert McRae, Jinwei Yang

We prove the Kazhdan-Lusztig correspondence for the Lie superalgebra at irrational levels, that is, we show the category $\mathrm{KL}_k^{\rm ev}(\mathfrak{o…

math.QA2026

Cocompletions for non-abelian vertex tensor categories

Robert McRae, Cris Negron

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

math.QA2025

A Tensor Category Construction of the Triplet Vertex Operator Algebra and Applications

Robert McRae, Valerii Sopin

For coprime , the triplet vertex operator algebra is a non-simple extension of the universal Virasoro vertex operator algebra of central charge…

math.QA2024★ 2 cited

super Virasoro tensor categories

Thomas Creutzig, Robert McRae, Florencia Orosz Hunziker +1

We show that the category of -cofinite modules for the universal super Virasoro vertex operator superalgebra at any central charge is locally fini…

math.QA2024

Ribbon categories of weight modules for affine at admissible levels

Thomas Creutzig, Robert McRae, Jinwei Yang

We show that the braided tensor category of finitely-generated weight modules for the simple affine vertex operator algebra of at any admis…

math.QA2024★ 1 cited

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

Thomas Creutzig, Robert McRae, Kenichi Shimizu +1

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