The Fermionic Signature Operator and Space-Time Symmetries

TL;DR

This paper explores how space-time symmetries influence the fermionic signature operator and related states, providing a mathematical framework linking symmetries with fermionic quantum structures.

Contribution

It establishes a detailed connection between space-time symmetries and the properties of the fermionic signature operator and states, advancing the mathematical understanding of fermionic quantum field theory.

Findings

Space-time symmetries induce specific symmetries in the fermionic signature operator.

The paper characterizes how these symmetries affect generalized fermionic projector states.

Provides a framework for analyzing fermionic structures in symmetric space-times.

Abstract

We show that and specify how space-time symmetries give rise to corresponding symmetries of the fermionic signature operator and generalized fermionic projector states.