Hiromu Nakano

activity

20232026

collaborators

5 papers

math-ph2026

Derivations on the triplet $W$ -algebras with $sl_{2}$ -symmetry

Hiromu Nakano

We construct derivations on the triplet $W$ -algebras $W_{p_{+}, p_{-}}$ by refining the Frobenius homomorphisms of Tsuchiya-Wood and show that the property of the Adamović-Mil…

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…

math.RT2023

Projective covers of the simple modules for the triplet $W$ -algebra $W_{p_{+}, p_{-}}$

Hiromu Nakano

We study the structure of the abelian category of modules for the triplet $W$ -algebra $W_{p_{+}, p_{-}}$ . Using the logarithmic deformation by Fjelstad et al., we construct lo…

Derivations on the triplet W-algebras with sl2​-symmetry

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−​​

Projective covers of the simple modules for the triplet W-algebra Wp+​,p−​​

Derivations on the triplet $W$ -algebras with $sl_{2}$ -symmetry

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 $W_{p_{+}, p_{-}}$

Projective covers of the simple modules for the triplet $W$ -algebra $W_{p_{+}, p_{-}}$