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SUMMARY:Zhencheng Wang (UIUC)
DTSTART:20240123T203000Z
DTEND:20240123T213000Z
DTSTAMP:20260423T024548Z
UID:HET/53
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HET/53/">Typ
 e I von Neumann algebras from gravitational path integrals</a>\nby Zhenche
 ng Wang (UIUC) as part of Purdue HET\n\nLecture held in Room 242 in the De
 partment of Physics and Astronomy.\n\nAbstract\nIn this talk\, I will desc
 ribe a construction of Hilbert spaces and von Neumann algebras from any UV
 -completion of asymptotically anti-de Sitter quantum gravity with a Euclid
 ean path integral satisfying a simple and familiar set of axioms. We consi
 der a quantum context in which a standard Lorentz-signature classical bulk
  limit would have Cauchy slices with two asymptotic boundaries (left and r
 ight)\, both of which are compact manifolds without boundary. Our main res
 ult is then that the quantum gravity path integral defines (left and right
 ) type I von Neumann algebras of observables acting respectively at the le
 ft and right boundaries\, such that the two algebras are commutants. The p
 ath integral also defines entropies on the von Neumann algebras. The entro
 pies can also be written in terms of standard density matrices and standar
 d Hilbert space traces.\n
LOCATION:https://researchseminars.org/talk/HET/53/
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