2 problems

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Completeness of the computed unitary and modular affine Lie algebra categories
Completeness conjecture. The results presented in the source cover all unitary and modular cases among these RTCs.
Conjectureopenmodular-categories ribbon-tensor-categories unitarityarXiv posted 2 days ago
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Pseudo-modularity implies modularity for affine Lie algebra ribbon tensor categories
Pseudo-modularity conjecture. Every pseudo-modular RTC associated with a simple affine Lie algebra is modular.
Conjectureopenaffine-lie-algebras modular-categories ribbon-tensor-categoriesarXiv posted 2 days ago

Completeness of the computed unitary and modular affine Lie algebra categories