The paper develops a formalism for reduction and inverse-reduction functors and computes the action of reduction on standard modules of V^k(sl_2), noting unbounded spectral sequences.
sl^(2)_{-1/2}: A Case Study
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
The construction of the non-logarithmic conformal field theory based on sl^(2)_{-1/2} is revisited. Without resorting to free-field methods, the determination of the spectrum and fusion rules is streamlined and the beta gamma ghost system is carefully derived as the extended algebra generated by the unique finite-order simple current. A brief discussion of modular invariance is given and the Verlinde formula is explicitly verified.
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math.QA 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Four-point functions in the bosonic ghost system have logarithmic singularities.
citing papers explorer
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Reduction and inverse-reduction functors I: standard $\mathsf{V^k}(\mathfrak{sl}_2)$-modules
The paper develops a formalism for reduction and inverse-reduction functors and computes the action of reduction on standard modules of V^k(sl_2), noting unbounded spectral sequences.
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Bosonic Ghost Correlators: A Case Study
Four-point functions in the bosonic ghost system have logarithmic singularities.