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CATEGORIES:Cosmology Lunch
SUMMARY:A Mellin-Barnes Approach to Scattering in de Sitte
r Space - Charlotte Sleight (Durham University)
DTSTART;TZID=Europe/London:20210315T130000
DTEND;TZID=Europe/London:20210315T140000
UID:TALK154774AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/154774
DESCRIPTION:The last decade has seen significant progress in o
ur understanding of scattering in anti-de Sitter (
AdS) space. Through the AdS/CFT correspondence\, w
e can reformulate scattering processes in AdS in t
erms of correlation functions in Conformal Field T
heory (CFT)\, which are sharply defined by the req
uirements of Conformal Symmetry\, Unitarity and a
consistent Operator Product expansion. Accordingly
\, numerous highly effective techniques for the st
udy of scattering in AdS have been developed. This
has been driven largely by the Conformal Bootstra
p programme\, which aims to carve out the space of
consistent CFTs (and\, in turn\, quantum gravitie
s in AdS space) principally through the three basi
c consistency requirements above. In this talk I w
ill describe some steps towards extending some of
these techniques and results to boundary correlato
rs in de Sitter (dS) space. Compared to AdS\, we h
ave little grasp of the properties required of con
sistent correlation functions in Euclidean CFTs du
al to physics in dS. The boundaries at infinity in
dS are space-like with no standard notion of loca
lity and time\, so the basic criteria that underpi
n the Conformal Bootstrap programme do not directl
y apply to the corresponding programme in dS\, the
so-called Cosmological bootstrap. I will show how
boundary correlators in AdS and dS can be placed
on a similar footing by introducing a Mellin-Barne
s representation in momentum space\, providing a f
ramework that could facilitate bridging the gap be
tween the Conformal and Cosmological bootstrap pro
grammes. I will then discuss how the Mellin-Barnes
representation itself can be a useful tool to stu
dy boundary correlators both in AdS and dS.
LOCATION:CMS\, Pav. B\, CTC Common Room (B1.19) [Potter Roo
m]
CONTACT:Sunny Vagnozzi
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