Constructing AdS_2 flow geometries

Understand

We consider two-dimensional geometries flowing away from an asymptotically AdS$_2$ spacetime.

• Macroscopically, flow geometries and their thermodynamic properties are studied from the perspective of dilaton-gravity models.
• We present a precise map constructing the fixed background metric from the boundary two-point function of a nearly massless matter field.
• We analyse constraints on flow geometries, viewed as solutions of dimensionally reduced theories, stemming from energy conditions.