Constructing AdS2 flow geometries

We consider two-dimensional geometries flowing away from an asymptotically AdS$_2$ spacetime. Macroscopically, flow and their thermodynamic properties are studied the perspective of dilaton-gravity models. present a precise map constructing fixed background metric boundary two-point function nearly massless matter field. analyse constraints on geometries, viewed as solutions dimensionally reduced theories, stemming energy conditions. Microscopically, we construct computationally tractable RG flows in SYK-type models at vanishing non-vanishing temperature. For certain regimes parameter space, geometry holographically encoding microscopic is argued to interpolate between two (near) spacetimes. The coupling fields dilaton putative bulk also discussed. speculate interpolating spacetime portion dS$_2$ world.