Equivalence between Chain Categories of Representations of Affine sl(2) and N=2 Superconformal Algebras

TL;DR

This paper demonstrates an equivalence between the representation theories of affine sl(2) and N=2 superconformal algebras, highlighting a deep connection in their highest-weight representations through spectral flows.

Contribution

It establishes a novel equivalence between the chain categories of representations of affine sl(2) and N=2 superconformal algebras, expanding understanding of their structural similarities.

Findings

Representation theories are equivalent modulo spectral flows.

Highest-weight modules correspond between the two algebra types.

Provides a new perspective on the structure of superconformal algebras.

Abstract

Highest-weight type representation theories of the affine sl(2) and N=2 superconformal algebras are shown to be equivalent modulo the respective spectral flows.