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SUMMARY:Momentum space approach to crossing symmetric CFT correlators
DTSTART;VALUE=DATE-TIME:20181219T060000Z
DTEND;VALUE=DATE-TIME:20181219T090000Z
DTSTAMP;VALUE=DATE-TIME:20200526T034141Z
UID:indico-contribution-998@conference-indico.kek.jp
DESCRIPTION:Speakers: Hiroshi Isono (Chulalongkorn University)\nWe constru
ct a crossing symmetric basis for conformal four-point functions in moment
um space by requiring consistent factorization. Just as scattering amplitu
des factorize when the intermediate particle is on-shell\, non-analytic pa
rts of conformal correlators enjoy a similar factorization in momentum spa
ce. Based on this property\, Polyakov\, in his pioneering 1974 work\, intr
oduced a basis for conformal correlators which manifestly satisfies the cr
ossing symmetry. He then initiated the bootstrap program by requiring its
consistency with the operator product expansion. This approach is compleme
ntary to the ordinary bootstrap program\, which is based on the conformal
block and requires the crossing symmetry as a consistency condition of the
theory. Even though Polyakov's original bootstrap approach has been revis
ited recently\, the crossing symmetric basis has not been constructed expl
icitly in momentum space. In this poster talk we show the complete the con
struction of the crossing symmetric basis for scalar four-point functions
with an intermediate operator with a general spin\, by using new analytic
expressions for three-point functions involving one tensor. Our new basis
manifests the analytic properties of conformal correlators. Also the conne
cted and disconnected correlators are manifestly separated\, so that it wi
ll be useful for the study of large N CFTs in particular.\n\nhttps://confe
rence-indico.kek.jp/event/48/contributions/998/
LOCATION:Kenkyu-Honkan bldg. 1F Kobayashi Hall
URL:https://conference-indico.kek.jp/event/48/contributions/998/
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