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Quantum Reduction for Affine Superalgebras
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We extend the homological method of quantization of generalized Drinfeld--Sokolov reductions to affine superalgebras. This leads, in particular, to a unified representation theory of superconformal algebras.
Forward citations
Cited by 3 Pith papers
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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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On Kazama-Suzuki Duality between $\mathcal{W}_k(\mathfrak{sl}_4, f_{\rm sub})$ and $N=2$ Superconformal Vertex Algebra
The subregular W-algebra W_{-1}(sl4,f_sub) and the N=2 superconformal algebra at c=-15 are shown to be Kazama-Suzuki dual, giving a complete classification of irreducible highest-weight W_{-1}(sl4,f_sub)-modules.
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Bosonic Ghost Correlators: A Case Study
The bosonic ghost system admits four-point correlation functions expressible via hypergeometric functions that contain logarithmic singularities.
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