Statut  Confirmé 
Série  RENCTHEO 
Domaines  hepth 
Date  Jeudi 23 Fevrier 2017 
Heure  11:45 
Institut  IHP 
Salle  Amphitheatre Darboux 
Nom de l'orateur  Craps 
Prenom de l'orateur  Ben 
Addresse email de l'orateur  
Institution de l'orateur  Vrije Universiteit Brussel 
Titre  Echoes of chaos from string theory black holes 
Résumé  The strongly coupled D1D5 conformal field theory is a microscopic model of black holes which is expected to have chaotic dynamics. We study the weak coupling limit of the theory where it is integrable rather than chaotic. In this limit, the operators creating microstates of the lowest mass black hole are known exactly. We consider the timeordered twopoint function of light probes in these microstates, normalized by the same twopoint function in vacuum. These correlators display a universal earlytime decay followed by latetime sporadic behavior. To find a prescription for temporal coarsegraining of these late fluctuations we appeal to random matrix theory, where we show that a progressive timeaverage smooths the spectral form factor (a proxy for the 2point function) in a typical draw of a random matrix. This coarsegrained quantity reproduces the matrix ensemble average to a good approximation. Employing this coarsegraining in the D1D5 system, we find that the earlytime decay is followed by a dip, a ramp and a plateau, in remarkable qualitative agreement with recent studies of the SachdevYeKitaev (SYK) model. We study the timescales involved, comment on similarities and differences between our integrable model and the chaotic SYK model, and suggest ways to extend our results away from the integrable limit. 
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