SciPost Submission Page
A microscopic realization of dS$_3$
by Scott Collier, Lorenz Eberhardt, Beatrix Mühlmann
Submission summary
| Authors (as registered SciPost users): | Scott Collier · Lorenz Eberhardt · Beatrix Mühlmann |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2501.01486v1 (pdf) |
| Date submitted: | 2025-02-11 14:50 |
| Submitted by: | Mühlmann, Beatrix |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We propose a precise duality between pure de Sitter quantum gravity in 2+1 dimensions and a double-scaled matrix integral. This duality unfolds in two distinct aspects. First, by carefully quantizing the gravitational phase space, we arrive at a novel proposal for the quantum state of the universe at future infinity. We compute cosmological correlators of massive particles in the universe specified by this wavefunction. Integrating these correlators over the metric at future infinity yields gauge-invariant observables, which are identified with the string amplitudes of the complex Liouville string arXiv:2409.17246. This establishes a direct connection between integrated cosmological correlators and the resolvents of the matrix integral dual to the complex Liouville string, thereby demonstrating one aspect of the dS$_3$/matrix integral duality. The second aspect concerns the cosmological horizon of the dS static patch and the Gibbons-Hawking entropy it is conjectured to encode. We show that this entropy can be reproduced exactly by counting the entries of the matrix.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
Current status:
Reports on this Submission
Strengths
This is a very interesting paper proposing a matrix model dual for three-dimensional de-Sitter observables.
A previous non-perturbative proposal for de-Sitter gravity involved an exotic higher spin gravity theory. The theory in this paper is a more conventional Einstein gravity theory, but in three spacetime dimensions.
This proposal is of a different character. It focuses on reparametrization invariant observables in the future and it proposes a dual which does not have space or time dimensions. It is just a matrix model. In this proposal both time and space should be emergent properties.
Weaknesses
The discussion seems limited to spin-less particles.
The bulk particles are described as heavy particles rather than as quantum fields.
Report
This is a very interesting article and I strongly recommend its publication.
Requested changes
No changes.
Recommendation
Publish (surpasses expectations and criteria for this Journal; among top 10%)