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SUMMARY:Simple emergent power spectra from complex inflationary physics - 
 Mafalda Dias (DESY)
DTSTART:20160606T120000Z
DTEND:20160606T130000Z
UID:TALK66310@talks.cam.ac.uk
CONTACT:Tommaso Giannantonio
DESCRIPTION:An ultraviolet-complete description of inflation may not be si
 mple. Indeed\, the large number of scalar fields appearing in the low ener
 gy effective description of string compactifications motivates the idea of
  inflation occurring on a complicated high-dimensional\, essentially rando
 m\, potential. It is far from clear that such scenarios are compatible wit
 h the simple observed primordial power spectrum\, fully described by its a
 mplitude and tilt. One might expect that the complicated dynamics occurrin
 g in such a potential would result in a highly non-linear spectrum. To add
 ress this question\, two computational problems must be overcome\, one at 
 the level of the background and one regarding perturbations.  In this talk
  I will describe how non-equilibrium random matrix theory can be used to s
 olve both of these problems. As we will see\, when the number of fields is
  small\, the heavily featured potentials give rise to power spectra that a
 re indeed highly non-linear. However\, when the number of fields is large\
 , the spectrum simplifies considerably and we find inflationary realisatio
 ns with an approximately linear power spectrum. Hence\, we provide proof o
 f principle that complicated inflationary models as motivated by some stri
 ng theory scenarios can be compatible with observation. I will also discus
 s how these simple power spectra can be interpreted as an emergent propert
 y of large N dynamics which can be understood in terms of the well known p
 henomenon of eigenvalue repulsion in random matrix theory. 
LOCATION:CMS\, Pav. B\, CTC Common Room (B1.19) [Potter Room]
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