Quantum dimensions and fusion rules of the VOA \(V_{L_{\mathcal{C} \times \mathcal{D}}}^\tau\). (English) Zbl 1418.17057
Summary: In this article, we determine quantum dimensions and fusion rules for the orbifold code VOA \(V_{L_{\mathcal{C} \times \mathcal{D}}}^\tau\). As our main result, we show that all irreducible \(V_{L_{\mathcal{C} \times \mathcal{D}}}^\tau\)-modules are simple current modules if the \(\mathbb{F}_4\)-code \(\mathcal{C}\) is self-dual.
MSC:
| 17B69 | Vertex operators; vertex operator algebras and related structures |
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