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SUMMARY:Ofer Aharony - A derivation of AdS/CFT for vector models
DTSTART;VALUE=DATE-TIME:20210223T130000Z
DTEND;VALUE=DATE-TIME:20210223T150000Z
DTSTAMP;VALUE=DATE-TIME:20210306T014248Z
UID:indico-event-987614@indico.cern.ch
DESCRIPTION:Zoom virtual seminar: Click here to enter room\n\n \n\nAbstr
act: After discussing what it means to derive the AdS/CFT correspondence\,
I will describe our attempts (in collaboration with Shai Chester and Erez
Urbach\, 2011.06328) to make this correspondence explicit in the simples
t case of the U(N) vector model. We explicitly rewrite the path integral
for the free or critical U(N) (or O(N)) bosonic vector models in d spac
e-time dimensions as a path integral over fields (including massless high-
spin fields) living on (d+1)-dimensional anti-de Sitter space. Inspired by
de Mello Koch\, Jevicki\, Suzuki and Yoon and earlier work\, we first rew
rite the vector models in terms of bi-local fields\, then expand these fie
lds in eigenmodes of the conformal group\, and finally map these eigenmode
s to those of fields on anti-de Sitter space. Our results provide an expli
cit (non-local) action for a high-spin theory on anti-de Sitter space\, wh
ich is presumably equivalent in the large N limit to Vasiliev's classical
high-spin gravity theory (with some specific gauge-fixing to a fixed backg
round)\, but which can be used also for loop computations. Our mapping is
explicit within the 1/N expansion\, but in principle can be extended also
to finite N theories\, where extra constraints on products of bulk fields
need to be taken into account.\n\nhttps://indico.cern.ch/event/987614/
LOCATION:CERN Zoom Only
URL:https://indico.cern.ch/event/987614/
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