Statut  Confirmé 
Série  LPTENSHE 
Domaines  hepth 
Date  Mardi 2 Juillet 2024 
Heure  14:00 
Institut  LPENS 
Salle  Conf IVE244, 24 Rue Lhomond 
Nom de l'orateur  Vieira 
Prenom de l'orateur  Pedro 
Addresse email de l'orateur  
Institution de l'orateur  ICTP Sao Paulo and Perimeter Institute 
Titre  Huge BPS Operators and Fluid Dynamics in N = 4 SYM 
Résumé  In the bulk dual of holography, huge operators correspond to sources so heavy that they fully backreact on the spacetime geometry. Here we study the correlation function of three such huge operators when they are given by 1/2 BPS operators in N = 4 SYM theory, dual to IIB Strings in AdS5 × S5. We unveil simple matrix model representations for these correlators which we can sometimes solve analytically. For general huge operators, we translate these matrix model expressions into a 1 + 1 dimensional hydrodynamical fluid problem. This fluid is integrable thus unveiling a novel integrable sector of the AdS/CFT duality in a full fledged gravitational regime, very far from the usual free string planar regime where integrability reigns supreme. We explain how an adiabatic deformation method can be developed to yield the solution to an integrable discrete formulation of these fluids – the rational CalogeroMoser Model – so we can access the general three point correlation functions of generic huge 1/2BPS operators. Everything will be done on the gauge theory side of the duality. It would be fascinating to find the holographic dual of these matrix models and fluids. 
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