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.
Modularity of Relatively Rational Vertex Algebras and Fusion Rules of Principal Affine W-Algebras
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We study modularity of the characters of a vertex (super)algebra equipped with a family of conformal structures. Along the way we introduce the notions of rationality and cofiniteness relative to such a family. We apply the results to determine modular transformations of trace functions on admissible modules over affine Kac-Moody algebras and, via BRST reduction, trace functions on minimal series representations of principal affine W-algebras.
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UNVERDICTED 2representative citing papers
Derives Ishibashi states and explicit disk two-point functions for boundary rational QDS W[g-hat](p,p') minimal models via free bosonic fields and Coulomb-gas integrals.
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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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Free-field approaches to boundary $\mathcal{W} \big[ \widehat{g} \big] (p,p') $ minimal models
Derives Ishibashi states and explicit disk two-point functions for boundary rational QDS W[g-hat](p,p') minimal models via free bosonic fields and Coulomb-gas integrals.