IAS Physics Group Meeting

Abstract: We study the partition function of 3D de Sitter gravity defined as the trace over the Hilbert space obtained by quantizing Schwarzschild-de Sitter spacetime. Motivated by the correspondence with double scaled SYK, we identify the Hamiltonian with the gravitational Wilson-line that measures the conical deficit angle. After constructing the Hamiltonian in terms of canonical variables, we find that it leads to the exact same chord rules and energy spectrum as the SYK model. We comment on how to compute correlation functions.