  It is of interest to find criteria on a 2d CFT which indicate that it gives
rise to emergent gravity in a macroscopic 3d AdS space via holography.
Symmetric orbifolds in the large $N$ limit have partition functions which are
consistent with an emergent space-time string theory with $L_{\rm string} \sim
L_{\rm AdS}$. For supersymmetric CFTs, the elliptic genus can serve as a
sensitive probe of whether the SCFT admits a large radius gravity description
with $L_{\rm string} \ll L_{\rm AdS}$ after one deforms away from the symmetric
orbifold point in moduli space. We discuss several classes of constructions
whose elliptic genera strongly hint that gravity with $L_{\rm Planck} \ll
L_{\rm string} \ll L_{\rm AdS}$ can emerge at suitable points in moduli space.
