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**https://princeton.zoom.us/j/98595504817?pwd=QWxDMzFGWjdBdmVBRTFyQmtvajVNQT09 **

**Meeting ID: 985 9550 4817 **

**Abstract: **In models of 2D dilaton gravity, it has been shown that wormhole amplitudes encode black hole microstate level statistics. These statistics quantitatively agree with predictions of random matrix theory for chaotic quantum systems; this behavior is realized since the 2D theories in question are dual to matrix models. But what about black hole microstate statistics for Einstein gravity in 3D and higher spacetime dimensions, and ultimately in string theory? We will discuss progress in these directions. In AdS3, we compute a wormhole amplitude that encodes the energy level statistics of BTZ black holes. In 4D and higher, we discover analogous wormholes which appear to encode the level statistics of small black holes just above threshold; we find that the 1-loop approximations have a short-distance divergence in pure Einstein gravity and so are sensitive to the details of UV completion. Finally, we study analogous Euclidean wormholes in supergravity on AdS5 x S5 and provide evidence that they encode the level statistics of small black holes just above threshold. Remarkably, these wormholes appear stable in a certain parameter regime, and dominate over the nucleation of brane-anti-brane pairs in the computation of the spectral form factor at late Lorentzian time.