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SUMMARY:A Mellin-Barnes Approach to Scattering in de Sitter Space - Charlo
 tte Sleight (Durham University)
DTSTART:20210315T130000Z
DTEND:20210315T140000Z
UID:TALK154774@talks.cam.ac.uk
CONTACT:Sunny Vagnozzi
DESCRIPTION:The last decade has seen significant progress in our understan
 ding of scattering in anti-de Sitter (AdS) space. Through the AdS/CFT corr
 espondence\, we can reformulate scattering processes in AdS in terms of co
 rrelation functions in Conformal Field Theory (CFT)\, which are sharply de
 fined by the requirements of Conformal Symmetry\, Unitarity and a consiste
 nt Operator Product expansion. Accordingly\, numerous highly effective tec
 hniques for the study of scattering in AdS have been developed. This has b
 een driven largely by the Conformal Bootstrap programme\, which aims to ca
 rve out the space of consistent CFTs (and\, in turn\, quantum gravities in
  AdS space) principally through the three basic consistency requirements a
 bove. In this talk I will describe some steps towards extending some of th
 ese techniques and results to boundary correlators in de Sitter (dS) space
 . Compared to AdS\, we have little grasp of the properties required of con
 sistent correlation functions in Euclidean CFTs dual to physics in dS. The
  boundaries at infinity in dS are space-like with no standard notion of lo
 cality and time\, so the basic criteria that underpin the Conformal Bootst
 rap programme do not directly apply to the corresponding programme in dS\,
  the so-called Cosmological bootstrap. I will show how boundary correlator
 s in AdS and dS can be placed on a similar footing by introducing a Mellin
 -Barnes representation in momentum space\, providing a framework that coul
 d facilitate bridging the gap between the Conformal and Cosmological boots
 trap programmes. I will then discuss how the Mellin-Barnes representation 
 itself can be a useful tool to study boundary correlators both in AdS and 
 dS.
LOCATION:CMS\, Pav. B\, CTC Common Room (B1.19) [Potter Room]
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