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CATEGORIES:DAMTP Friday GR Seminar
SUMMARY:Bulk reconstruction of metrics with a compact spac
e asymptotically - Sergio Hernandez Cuenca (UC San
ta Barbara)
DTSTART;TZID=Europe/London:20200424T130000
DTEND;TZID=Europe/London:20200424T140000
UID:TALK136195AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/136195
DESCRIPTION:*Abstract:*\nHolographic duality implies that the
geometric properties of the gravitational bulk the
ory should be encoded in the dual field theory. Th
ese naturally include the metric on dimensions tha
t become compact near the conformal boundary\, as
is the case for any asymptotically locally _AdS_n
x S^k_ spacetime. Almost all previous work on metr
ic reconstruction ignores these dimensions and wou
ld thus at most apply to dimensionally-reduced met
rics. In this work\, we generalize the approach to
bulk reconstruction using light-cone cuts and pro
pose a prescription to obtain the full higher-dime
nsional metric of generic spacetimes up to an over
all conformal factor. We first extend the definiti
on of light-cone cuts to include information about
the asymptotic compact dimensions\, and show that
the full conformal metric can be recovered from t
hese extended cuts. We then give a prescription fo
r obtaining these extended cuts from the dual fiel
d theory. The location of the usual cuts can still
be obtained from bulk-point singularities of corr
elators\, and the new information in the extended
cut can be extracted by using appropriate combinat
ions of operators dual to Kaluza-Klein modes of th
e higher-dimensional bulk fields.\n\n_Talk based o
n_ "2003.08409":https://arxiv.org/abs/2003.08409 .
LOCATION:Zoom
CONTACT:Nathan Johnson-McDaniel
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