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SUMMARY:BMN matrix model revisited - Shota Komatsu\, CERN
DTSTART:20240509T120000Z
DTEND:20240509T130000Z
UID:TALK215734@talks.cam.ac.uk
CONTACT:Jackson Fliss
DESCRIPTION:We revisit the Berenstein-Maldacena-Nastase (BMN) conjecture r
 elating 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 couplin
 g and finite N and derive an effective Hamiltonian that describes non-rela
 tivistic free particles in a harmonic trap. The energy spectrum predicted 
 by this Hamiltonian matches the supergravity excitation spectrum around th
 e PP-wave background\, if we further assume the existence of bound states.
  Our derivation is based on the strong coupling expansion of the wavefunct
 ion and supersedes the naive path integral approach that can lead to incor
 rect results\, as we demonstrate in a simple toy model. We conclude by dis
 cussing the relation between the BMN conjecture and AdS_4/CFT_3.
LOCATION:Potter Room (B1.19)
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