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SUMMARY:The Coulomb Gas of Random Supergravities - Marsh\, CMD (Cornell Un
 iversity)
DTSTART:20120628T154500Z
DTEND:20120628T160000Z
UID:TALK38729@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:I will discuss the mass spectrum of four-dimensional {
l N}=1 
 supergravity in which the Khler potential and superpotential are taken to 
 be random functions of N chiral superfields. For both supersymmetric and n
 on-supersymmetric critical points\, the ensemble of Hessian matrices can b
 e efficiently studied through the Coulomb gas formulation of Random Matrix
  Theory. At large N\, the supersymmetric AdS vacua have a very peculiar sp
 ectrum which typically includes many BF-allowed tachyons\, and I will brie
 fly discuss the prospects of obtaining metastable de Sitter vacua from an 
 uplift of a supersymmetric AdS vacuum. An exponentially small fraction de 
 Sitter critical points with spontaneously broken supersymmetry are metasta
 ble vacua\, and I will discuss how the Coulomb gas formulation can be used
  to find the joint probability distribution of the masses\, the fraction o
 f critical points which are vacua\, and the spectrum of the vacua. I will 
 conclude by b riefly discussing some cosmological consequences of these re
 sults. \n\n
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
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