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

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.

5 pages and 2 figures

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• LQG vertex with finite Immirzi parameter
• The loop-quantum-gravity vertex-amplitude
• The Ponzano-Regge model

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