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SUMMARY:Shota Komatsu (CERN)
DTSTART:20240612T140000Z
DTEND:20240612T150000Z
DTSTAMP:20260423T021139Z
UID:AnLy/43
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AnLy/43/">BM
 N matrix model and open-closed-open triality</a>\nby Shota Komatsu (CERN) 
 as part of AnLy Strings and Fields online seminars\n\n\nAbstract\nWe revis
 it the Berenstein-Maldacena-Nastase (BMN) conjecture relating M-theory on 
 a PP-wave background and Matrix Quantum Mechanics (MQM) of N×N matrices. 
 In particular\, we study the BMN MQM at strong coupling and finite N and d
 erive an effective Hamiltonian that describes non-relativistic free partic
 les in a harmonic trap. The energy spectrum predicted by this Hamiltonian 
 matches the supergravity excitation spectrum around the PP-wave background
 \, if we further assume the existence of bound states. Our derivation is b
 ased on the strong coupling expansion of the wavefunction and supersedes t
 he naive path integral approach that can lead to incorrect results\, as we
  demonstrate in a simple toy model. We conclude by discussing the relation
  between the BMN conjecture and AdS${}_4$/CFT${}_3$.\n
LOCATION:https://researchseminars.org/talk/AnLy/43/
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