Anomaly-free Hyperspherical Hamiltonian spaces for simple reductive groups

TL;DR

This paper classifies all anomaly-free hyperspherical Hamiltonian spaces for simple reductive groups and proposes their dual spaces based on BZSV duality, advancing understanding in geometric representation theory.

Contribution

It provides a complete classification of anomaly-free hyperspherical Hamiltonian spaces and conjectural duals for simple reductive groups, filling a gap in the literature.

Findings

Complete list of anomaly-free hyperspherical Hamiltonian spaces

Conjectural dual spaces based on BZSV duality

Advancement in geometric representation theory

Abstract

In this paper, we provide a complete list of anomaly-free hyperspherical Hamiltonian spaces for simple reductive groups, as well as their conjectural dual spaces in the sense of BZSV duality.