Nodal and smooth genus-0 conformal block dimensions can differ for C2-cofinite non-rational VOAs with non-lowest-generated modules, making conformal block sheaves non-locally-free for N at least 4 and separating the mode transition algebra from the categorical end.
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Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT
Nodal and smooth genus-0 conformal block dimensions can differ for C2-cofinite non-rational VOAs with non-lowest-generated modules, making conformal block sheaves non-locally-free for N at least 4 and separating the mode transition algebra from the categorical end.