Wakimoto-type free field realizations for superelliptic sl2 affine algebras work in even/odd sectors but are obstructed in mixed sectors by charge-residue recurrence and non-integer exponent branch cuts.
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Free Field Realizations of Superelliptic Affine Lie Algebras
Wakimoto-type free field realizations for superelliptic sl2 affine algebras work in even/odd sectors but are obstructed in mixed sectors by charge-residue recurrence and non-integer exponent branch cuts.