Symplectic Dirac Operators on Hermitian Symmetric Spaces

TL;DR

This paper analyzes symplectic Dirac operators on Hermitian symmetric spaces by representing them as more manageable families of operators, facilitating their study.

Contribution

It introduces a new approach to understanding symplectic Dirac operators on Hermitian symmetric spaces through operator families.

Findings

Characterization of symplectic Dirac operators on Hermitian symmetric spaces

Representation of these operators as manageable families

Facilitation of further analysis of their properties

Abstract

We describe the shape of the symplectic Dirac operators on Hermitian symmetric spaces. For this, we consider these operators as families of operators that can be handled more easily than the original ones.