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Preprint Oct 2026

A vertex operator algebra for the S-fold realisation of a non-unitary Haagerup--Izumi modular fusion category

We show that there exists a strongly rational vertex operator algebra $V_{11}$, proposed by Flohr, whose representation theory $\mathrm{Rep}\,V_{11}\simeq\mathrm{Sem}\otimes\mathcal Z(\sigma_2\mathcal F)$ as braided categories. Here $\mathrm{Sem}$ is the semion category (with the spherical structure in which its genera...

D. Evans · 1 citation
Preprint Oct 2026

Vertex operator algebra realizations of untwisted Haagerup--Izumi centers

For every odd integer $N\geq3$, we construct an untwisted Haagerup--Izumi fusion category $\mathcal H_N$ on the negative spherical branch and a simple, self-contragredient, regular, $C_2$-cofinite vertex operator algebra $E_N$ of central charge $-16N$, together with an equivalence of modular fusion categories: \[ \oper...

D. Evans, Andrew Riesen · 0 citations
Preprint Oct 2026

Representations of the infinite Cuntz algebra

We define an intrinsic unital completely positive (ucp) map from the Cuntz algebra to the Pythagorean with finitely many generators. This permits to lift states and cyclic representations. This process restricts to the Cuntz-Toeplitz algebras and the contraction algebras. Taking inductive limits we obtain an effective...

Arnaud Brothier, D. Evans · 0 citations

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