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SUMMARY:Quantizing Null Hypersurfaces [Confirmed]
DTSTART:20240919T183000Z
DTEND:20240919T200000Z
DTSTAMP:20241111T034600Z
UID:indico-event-518@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Luca Ciambelli\n\nIn this talk\, we first present a
detailed analysis of the classical geometry of generic null hypersurfaces
. We then reformulate the Einstein equations as conservation laws for the
intrinsic geometric data on these hypersurfaces. Following this\, we der
ive the symplectic structure and the corresponding Poisson bracket. Upon
quantizing this phase space\, we propose that the projected Einstein te
nsor obeys the operator product expansion of the stress tensor in a confo
rmal field theory along null time. This hypothesis is supported by explic
it computations in simplified scenarios\, such as the absence of radiatio
n and within the framework of perturbative gravity.\nNotably\, we discover
a non-vanishing central charge\, which counts the\nlocal geometric degree
s of freedom and diverges in the classical limit. We suggest that this ce
ntral charge is a fundamental principle underlying the emergence of time
in quantum gravity. If time permits\, we will conclude by introducing a m
esoscopic model of quantum gravity on null hypersurfaces\, based on the c
oncept of the "embadon\," an operator that creates localized bits of area
on cuts.\n\nhttps://events.perimeterinstitute.ca/event/518/
LOCATION:PI/2-292 - Time Room (Perimeter Institute for Theoretical Physics
)
URL:https://events.perimeterinstitute.ca/event/518/
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