Negative single-trace T(T)over-bar holography versus de Sitter holography

In single-trace T (T) over bar holography, for the negative sign of the deformation, thegeometries dual to high energy states consist of a singular UV wall that separates black stringsin the IR from an asymptotically linear dilaton spacetime. In the hologram, the black stringsamount to states in a symmetric product of T (T) over bar deformedCFT(2), whose energy and momentumare split equally among the different blocks. The properties of this holographic duality haveintriguing similarities with the proposed principles of de Sitter holography. In this note, theanalogy between the two is presented. In particular, as the horizon location approaches theUV wall, one obtains a state of maximum finite entropy and infinite temperature. On theother hand, the bulk temperature of the geometry obtained in the limit is small. Theseproperties are identical to those proposed in empty de Sitter holography.