Four-dimensional Quantum Gravity with a Cosmological Constant from Three-dimensional Holomorphic Blocks

TL;DR

This paper introduces a novel approach to quantum gravity that incorporates a cosmological constant of either sign by quantizing a complex SL(2,C) Chern-Simons theory, addressing a key challenge in the field.

Contribution

It presents a new method to include a positive cosmological constant in quantum gravity models using three-dimensional holomorphic blocks.

Findings

Successfully incorporates cosmological constant into quantum gravity models.

Provides a framework for positive and negative cosmological constants.

Advances understanding of quantum gravity with cosmological constant.

Abstract

Prominent approaches to quantum gravity struggle when it comes to incorporating a positive cosmological constant in their models. Using quantization of a complex $\mathrm{SL}(2,\mathbb{C})$ Chern-Simons theory we include a cosmological constant, of either sign, into a model of quantum gravity.