Groups of flux-like transformations in loop quantum gravity

TL;DR

This paper introduces a new group of transformations in the quantum configuration space of loop quantum gravity, expanding the set of transformations generated by flux variables, which could impact the understanding of quantum geometric structures.

Contribution

It defines a novel group of flux-like transformations in the quantum configuration space of loop quantum gravity, broadening the scope of quantum symmetries.

Findings

The group includes all flux-generated transformations.

It provides a new mathematical framework for quantum geometric analysis.

Potential implications for quantum gravity models.

Abstract

We present a group of transformations in the quantum configuration space of loop quantum gravity that contains the set of all transformations generated by the flux variables.