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SUMMARY:Toward the quantization of Jackiw-Teitelboim gravity with positive
  cosmological constant - Elba Alonso-Monsalve (Massachusetts Institute of 
 Technology)
DTSTART:20251126T100000Z
DTEND:20251126T113000Z
UID:TALK241231@talks.cam.ac.uk
DESCRIPTION:A growing body of evidence suggests that quantum gravity is ho
 lographic\, meaning that spacetime emerges from a lower-dimensional (non-g
 ravitational) theory. The best-understood example is AdS/CFT\, where the l
 ower-dimensional degrees of freedom form a CFT which can be interpreted as
  residing at the spatial conformal boundary of the Anti-de Sitter space. W
 hat about de Sitter\, however? Is there a holographic dual\, and if so\, d
 o the lower-dimensional degrees of freedom live at future or past infinity
  (as in dS/CFT)\, on the cosmological horizon (as in static-patch holograp
 hy)\, or in no particular place at all (as in ensemble average or matrix m
 odel proposals)? As a first step to address this question\, we approach th
 e quantization of Jackiw-Teitelboim (JT) gravity from a canonical perspect
 ive. In this talk we will construct the classical phase space of JT gravit
 y with positive cosmological constant on spatial slices with circle topolo
 gy. We identify solutions not previously discussed in the literature\, and
  argue that the correct result for the symplectic form requires being care
 ful about spatial boundary terms in the action (despite the lack of spatia
 l boundary). We find the phase space has many singular points and is not e
 ven Hausdorff. Nonetheless\, it admits a group-theoretic description which
  is quite amenable to quantization. We comment on next steps toward quanti
 zation.\n[Based on 2409.12943 and upcoming work.]
LOCATION:Seminar Room 2\, Newton Institute
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