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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:20190520T095741Z
UID:indico-contribution-39@cern.ch
DESCRIPTION:Speakers: Dr. ISONO\, Hiroshi (Chulalongkorn University)\nWe c
onstruct a crossing symmetric basis for conformal four-point functions in
momentum space by requiring consistent factorization. Just as scattering a
mplitudes factorize when the intermediate particle is on-shell\, non-analy
tic parts of conformal correlators enjoy a similar factorization in moment
um space. Based on this property\, Polyakov\, in his pioneering 1974 work\
, introduced a basis for conformal correlators which manifestly satisfies
the crossing symmetry. He then initiated the bootstrap program by requirin
g its consistency with the operator product expansion. This approach is co
mplementary to the ordinary bootstrap program\, which is based on the conf
ormal block and requires the crossing symmetry as a consistency condition
of the theory. Even though Polyakov's original bootstrap approach has been
revisited recently\, the crossing symmetric basis has not been constructe
d explicitly in momentum space. In this poster talk we show the complete t
he construction of the crossing symmetric basis for scalar four-point func
tions with an intermediate operator with a general spin\, by using new ana
lytic expressions for three-point functions involving one tensor. Our new
basis manifests the analytic properties of conformal correlators. Also the
connected and disconnected correlators are manifestly separated\, so that
it will be useful for the study of large N CFTs in particular.\n\nhttps:/
/conference-indico.kek.jp:443/indico/event/48/session/13/contribution/39
LOCATION:Kenkyu-Honkan bldg. 1F Kobayashi Hall
URL:https://conference-indico.kek.jp:443/indico/event/48/session/13/contri
bution/39
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