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SUMMARY:Bulk Locality and Asymptotic Causal Diamonds [Quantum Spacetime se
minar series]
DTSTART;VALUE=DATE-TIME:20190211T060000Z
DTEND;VALUE=DATE-TIME:20190211T070000Z
DTSTAMP;VALUE=DATE-TIME:20190220T060227Z
UID:indico-event-6919@cern.ch
DESCRIPTION:In AdS/CFT\, the non-uniqueness of the reconstructed bulk from
boundary subregions has motivated the notion of code subspaces. We presen
t some closely related structures that arise in flat space. A useful orga
nizing idea is that of an {\\em asymptotic} causal diamond (ACD): a causal
diamond attached to the conformal boundary of Minkowski space. The space
of ACDs is defined by pairs of points\, one each on the future and past nu
ll boundaries\, ${\\cal I}^{\\pm}$. We observe that for flat space with an
IR cut-off\, this space (a) encodes a preferred class of boundary subregi
ons\, (b) is a plausible way to capture holographic data for local bulk re
construction\, (c) has a natural interpretation as the kinematic space for
holography\, (d) leads to a holographic entanglement entropy in flat spa
ce that matches previous definitions and satisfies strong sub-additivity\,
and (e) has a bulk union/intersection structure identical to the one that
motivated the introduction of quantum error correction in AdS/CFT. Even t
hough our discussion is centered around flat space\, we note that there ar
e notions of ACDs in other spacetimes as well. They could provide a covari
ant way to abstractly characterize tensor sub-factors of Hilbert spaces of
holographic theories.\n\nhttps://indico.tifr.res.in/indico/conferenceDisp
lay.py?confId=6919
LOCATION: A304
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=6919
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