TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.18.4.131
TI  - A microscopic realization of dS$_3$
PY  - 2025/04/17
UR  - https://scipost.org/SciPostPhys.18.4.131
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 18
IS  - 4
SP  - 131
A1  - Collier, Scott
AU  - Eberhardt, Lorenz
AU  - Mühlmann, Beatrix
AB  - 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 [S. Collier et al., 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.
ER  -

@Article{10.21468/SciPostPhys.18.4.131,
	title={{A microscopic realization of dS$_3$}},
	author={Scott Collier and Lorenz Eberhardt and Beatrix Mühlmann},
	journal={SciPost Phys.},
	volume={18},
	pages={131},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.18.4.131},
	url={https://scipost.org/10.21468/SciPostPhys.18.4.131},
}