Coupling Fields to 3D Quantum Gravity via Chern-Simons Theory

2023/04/05 by Castro, Alejandra, Coman, Ioana, Fliss, Jackson R. +1 · 4 citations
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2304.02668

Abstract

We propose a mechanism that couples matter fields to three-dimensional quantum gravity, which can be used for theories with a positive or negative cosmological constant. Our proposal is rooted in the Chern-Simons formulation of three-dimensional gravity and makes use of the Wilson spool, a collection of Wilson loops winding around closed paths of the background. We show that the Wilson spool correctly reproduces the one-loop determinant of a free massive scalar field on rotating black holes in AdS₃ and Euclidean dS₃ as G_N→ 0. Moreover, we describe how to incorporate quantum metric fluctuations into this formalism.

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• Wilson network decomposition of AdS Feynman diagrams in two dimensions
• The Wilson Spool in Flat Spacetime
• Particles, Forces and the Early Universe
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