Hyperspherical equivariant slices and basic classical Lie superalgebras

TL;DR

This paper classifies hyperspherical equivariant slices of reductive groups and reveals their duality with basic classical Lie superalgebras, advancing understanding of their structural relationships.

Contribution

It provides a complete classification of hyperspherical equivariant slices and establishes a duality with basic classical Lie superalgebras.

Findings

Classification of all hyperspherical equivariant slices of reductive groups

Identification of S-duality with basic classical Lie superalgebras

Enhanced understanding of the structural relationships between these algebraic objects

Abstract

We classify all the hyperspherical equivariant slices of reductive groups. The classification is $S$-dual to the one of basic classical Lie superalgebras.