A Universal Behavior of Half BPS Probes in the Superstar Ensemble

In this paper we probe the typical states of the superstar ensemble of (hep-th/0508023) using half-BPS states of type-IIB string theory on AdS$5 \times$S$^5$\mathrm{.}Wefindaverysimpleuniversalresultthathasthestructure$\log, \lag\lag \y ; \y \rag\rag\calo \approx \a, h , \log N$,where$h$istheconformalweightoftheprobe$\y$and$\a$ is a constant that depends mainly of the shape of the probe $\text{y}$. A complete understanding of some properties of this leading term from the dual effective superstar geometry point of view is still lacking.