Hiromu Nakano

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20232026

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math.QA2024

Tensor structure on the module category of the triplet superalgebra $S W (m)$

Hiromu Nakano

We discuss the tensor structure on the category of modules of the $N = 1$ triplet vertex operator superalgebra $S W (m)$ introduced by Adamović and Milas. Based on the theory…

math.QA2024

Fusion rules and rigidity for weight modules over the simple admissible affine $sl (2)$ and $N = 2$ superconformal vertex operator superalgebras

Hiromu Nakano, Florencia Orosz Hunziker, Ana Ros Camacho +1

We prove that the categories of weight modules over the simple $sl (2)$ and $N = 2$ superconformal vertex operator algebras at fractional admissible levels and ce…

math.QA2023

Fusion rules for the triplet $W$ -algebra $W_{p_{+}, p_{-}}$

Hiromu Nakano

We study the structure of fusion rules for the triplet $W$ -algebra $W_{p_{+}, p_{-}}$ . By using the vertex tensor category theory developed by Huang, Lepowsky and Zhang, we re…

Tensor structure on the module category of the triplet superalgebra SW(m)

Fusion rules and rigidity for weight modules over the simple admissible affine sl(2) and N=2 superconformal vertex operator superalgebras

Fusion rules for the triplet W-algebra Wp+​,p−​​

Tensor structure on the module category of the triplet superalgebra $S W (m)$

Fusion rules and rigidity for weight modules over the simple admissible affine $sl (2)$ and $N = 2$ superconformal vertex operator superalgebras

Fusion rules for the triplet $W$ -algebra $W_{p_{+}, p_{-}}$