Boundary dual for the dS_3 static patch with local bulk matter

The integrable TT + \Lambda_2 deformation of a holographic CFT_2 contains universal dressed energy bands whose state count matches the refined Gibbons-Hawking entropy of dS_3, as predicted by semiclassical gravity.  The dressed energy spectrum reproduces the quasilocal energy of the static patch with a timelike non-gravitational boundary, as a function of the size of the boundary, thus reproducing the radial geometry.  Thermodynamic quantities behave as in ordinary quantum systems with such a boundary, as shown in recent work by Banihashemi, Jacobson et al.  But the solvable theory does not by itself ensure the requisite approximately local boundary conditions for non-gravitational effective field theory matter, which requires making sense of more multitrace operator contributions to the deformation.   In this talk, I will present a proposal for a generalization of this deformation that incorporates bulk local matter. The four-part deformation that we propose gives a continuous trajectory from an AdS/CFT system to a deformed CFT dual to dS_3 with quantum fields. This theory exists at finite c, and is defined at each step in the deformation to explicitly subtract by hand divergences arising in the multitrace deformation in order to match the large-N prescription defined by Hartman, Kruthoff, Shaghoulian, and Tajdini for regimes where classical GR + EFT is a good approximation. In other regimes, our theory defines the quantum gravity completion of GR plus EFT.  After a brief review of TT + \Lambda_2, I will go through the details of the trajectory of deformations and then discuss some calculations in the bulk and the boundary as well as open questions.