dS3 / Double-Scaled Matrix Integral Duality via the Complex Liouville String
A proposed exact duality between pure de Sitter quantum gravity in 2+1 dimensions and a double-scaled matrix integral. Quantizing the gravitational phase space yields a candidate wavefunction of the universe at future infinity; integrating cosmological correlators of massive particles over the boundary metric produces gauge-invariant observables identified with complex-Liouville-string amplitudes and with resolvents of the dual matrix integral. The Gibbons-Hawking entropy of the de Sitter static-patch horizon is reproduced exactly by counting matrix entries, giving a microscopic account of dS3 horizon entropy.
A microscopic realization of dS3 Scott Collier1, Lorenz Eberhardt2, Beatrix M¨uhlmann3
Proposes a precise duality between pure de Sitter quantum gravity in 2+1 dimensions and a double-scaled matrix integral. By quantizing the gravitational phase space, the authors construct a novel pro…