Keeping matter in the loop in dS${}_3$ quantum gravity

Abstract

We propose a mechanism that couples matter fields to three-dimensional de Sitter quantum gravity. Our construction is based on the Chern-Simons formulation of three-dimensional Euclidean gravity, and it centers on a collection of Wilson loops winding around Euclidean de Sitter space. We coin this object a Wilson spool. To construct the spool, we build novel representations of $\mathfrak{su}(2)$. To evaluate the spool, we adapt and exploit several known exact results in Chern-Simons theory. Our proposal correctly reproduces the one-loop determinant of a free massive scalar field on $S^3$ as $G_N\to 0$. Moreover, allowing for quantum metric fluctuations, it can be systematically evaluated to any order in perturbation theory.

48 pages + appendices; v2: final version for JHEP, minor edits; v3: author correction added in footnote 30

References in corpus (28)

• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• Wilson Lines and Entanglement Entropy in Higher Spin Gravity
• De Sitter Musings
• MacDowell-Mansouri gravity and Cartan geometry
• Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions
• Black hole determinants and quasinormal modes
• Mixed-symmetry fields in de Sitter space: a group theoretical glance
• Lectures on localization and matrix models in supersymmetric Chern-Simons-matter theories
• Chern-Simons Theory on S^1-Bundles: Abelianisation and q-deformed Yang-Mills Theory
• Observational Signatures of Quantum Gravity in Interferometers
• A de Sitter Farey Tail
• Holography in de Sitter Space via Chern-Simons Gauge Theory
• Spacetime Fluctuations in AdS/CFT
• CFT duals of three-dimensional de Sitter gravity
• Group theoretical approach to quantum fields in de Sitter space I. The principal series
• Holographic conformal blocks from interacting Wilson lines
• Group theoretical approach to quantum fields in de Sitter space II. The complementary and discrete series
• de Sitter Supersymmetry Revisited
• Finite Features of Quantum De Sitter Space
• Chern-Simons Theory on Seifert 3-Manifolds
• Correlators in higher spin AdS_3 holography from Wilson lines with loop corrections
• Wilson Lines and Ishibashi States in AdS${}_3$/CFT${}_2$
• Quasinormal Quantization in deSitter Spacetime
• Renormalization of gravitational Wilson lines
• Gravitational Wilson Lines in 3D de Sitter
• Black Hole Scattering and Partition Functions
• Black Hole Horizon Edge Partition Functions
• On the simplified path integral on spheres

Cited by in corpus (12)

• A microscopic realization of dS${}_3$
• de Sitter at all loops: the story of the Schwinger model
• dS${}_2$ Supergravity
• The Universal One-Loop Effective Action with Gravity
• One-loop partition functions in $T\overline{T}$-deformed AdS${}_3$
• Root-$T\overline{T}$ deformed CFT partition functions at large central charge
• De Sitter Horizon Edge Partition Functions
• Massive fields and Wilson spools in JT gravity
• Real-time observables in de Sitter thermodynamics
• Particles, Forces and the Early Universe
• The massive BMS character in 3D quantum gravity
• A spool for every quotient: One-loop partition functions in AdS${}_3$ gravity