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.
Fusion in fractional level b๐ฐ๐ฉ (2)-theories with๐=โ 1 2 .Nucl
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
The fusion rules of conformal field theories admitting an sl^(2)-symmetry at level k=-1/2 are studied. It is shown that the fusion closes on the set of irreducible highest weight modules and their images under spectral flow, but not when "highest weight" is replaced with "relaxed highest weight". The fusion of the relaxed modules, necessary for a well-defined u^(1)-coset, gives two families of indecomposable modules on which the Virasoro zero-mode acts non-diagonalisably. This confirms the logarithmic nature of the associated theories. The structures of the indecomposable modules are completely determined as staggered modules and it is shown that there are no logarithmic couplings (beta-invariants). The relation to the fusion ring of the c=-2 triplet model and the implications for the beta gamma ghost system are briefly discussed.
fields
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.