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.
Quantum Reduction for Affine Superalgebras
2 Pith papers cite this work. Polarity classification is still indexing.
abstract
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.
fields
math.QA 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
The bosonic ghost system admits four-point correlation functions expressible via hypergeometric functions that contain logarithmic singularities.
citing papers explorer
-
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.
-
Bosonic Ghost Correlators: A Case Study
The bosonic ghost system admits four-point correlation functions expressible via hypergeometric functions that contain logarithmic singularities.