Chern-Simons expectation values and quantum horizons from LQG and the Duflo map

TL;DR

This paper introduces a novel method for calculating Chern-Simons expectation values using loop quantum gravity techniques and the Duflo map, with potential applications to quantum black hole horizons and insights into quantum groups.

Contribution

It presents a new approach combining LQG and the Duflo map for Chern-Simons calculations, advancing understanding of quantum horizons and quantum group structures.

Findings

New calculation method for Chern-Simons expectation values

Potential applications to quantum black hole horizons

Insights into quantum groups and LQG

Abstract

We report on a new approach to the calculation of Chern-Simons theory expectation values, using the mathematical underpinnings of loop quantum gravity, as well as the Duflo map, a quantization map for functions on Lie algebras. These new developments can be used in the quantum theory for certain types of black hole horizons, and they may offer new insights for loop quantum gravity, Chern-Simons theory and the theory of quantum groups.