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CATEGORIES:Wednesday HEP-GR Colloquium
SUMMARY:Conformal correlators as simplex integrals in mome
ntum space - Paul McFadden (Newcastle University)
DTSTART;TZID=Europe/London:20210512T140000
DTEND;TZID=Europe/London:20210512T150000
UID:TALK158080AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/158080
DESCRIPTION:We review conformal field theory from a momentum-s
pace perspective\, motivated by applications to in
flationary cosmology. Our main result is a genera
lised Feynman integral representation for the gene
ral scalar n-point function in any conformal field
theory. This integral has the topology of an (n-
1)-simplex\, where the operators are inserted at t
he vertices of the simplex and the momenta running
in between are the integration variables. The in
tegrand then features an arbitrary function of the
n(n-3)/2 conformal cross ratios that can be const
ructed from these integration variables. We show
how this simplex representation solves the conform
al Ward identities\, and discuss its application t
o holographic theories. For contact Witten diagra
ms\, the simplex representation can be found using
a star-mesh duality from electrical circuit theor
y.
LOCATION:ONLINE - Details to be sent by email
CONTACT:Scott Melville
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