Functorial Aspects of the Space of Generalized Connections

TL;DR

This paper explores the categorical structure of the space of generalized connections, which extends the traditional space of connections and is significant in the context of loop quantum gravity.

Contribution

It provides a detailed description of the category structure of the space of generalized connections, advancing understanding in loop quantum gravity research.

Findings

Categorical description of generalized connections

Extension of the space of connections for quantum gravity

Framework for analyzing loop quantum gravity models

Abstract

We give a description of the category structure of the space of generalized connections, an extension of the space of connections that plays a central role in loop quantum gravity.