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SUMMARY:Conformal correlators as simplex integrals in momentum space - Pau
 l McFadden (Newcastle University)
DTSTART:20210512T130000Z
DTEND:20210512T140000Z
UID:TALK158080@talks.cam.ac.uk
CONTACT:Scott Melville
DESCRIPTION:We review conformal field theory from a momentum-space perspec
 tive\, motivated by applications to inflationary cosmology.  Our main resu
 lt is a generalised Feynman integral representation for the general scalar
  n-point function in any conformal field theory.  This integral has the to
 pology of an (n-1)-simplex\, where the operators are inserted at the verti
 ces of the simplex and the momenta running in between are the integration 
 variables.  The integrand then features an arbitrary function of the n(n-3
 )/2 conformal cross ratios that can be constructed from these integration 
 variables.  We show how this simplex representation solves the conformal W
 ard identities\, and discuss its application to holographic theories.  For
  contact Witten diagrams\, the simplex representation can be found using a
  star-mesh duality from electrical circuit theory.
LOCATION:ONLINE - Details to be sent by email
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