On the structure of the space of generalized connections

TL;DR

This paper provides a modern analysis of the structure of the space of generalized connections, which extends the classical space of connections and is fundamental in loop quantum gravity research.

Contribution

It offers a new, comprehensive account of the construction and structure of the space of generalized connections, enhancing understanding in quantum gravity.

Findings

Clarifies the mathematical structure of generalized connections

Provides a detailed construction framework

Highlights relevance to loop quantum gravity

Abstract

We give a modern account of the construction and structure of the space of generalized connections, an extension of the space of connections that plays a central role in loop quantum gravity.