Journal
ANNALES DE L INSTITUT HENRI POINCARE D
Volume 6, Issue 3, Pages 427-448Publisher
EUROPEAN MATHEMATICAL SOC
DOI: 10.4171/AIHPD/76
Keywords
Feynman graphs; large N; large D; planar diagrams; matrix models; tensor models; holography; black holes
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Funding
- Belgian Fonds National de la Recherche Scientifique FNRS [IISN 4.4503.15, J. 0088. 15]
- FederationWallonieBruxelles (Advanced ARC project Holography, Gauge Theories and Quantum Gravity)
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We show that in O(D) invariant matrix theories containing a large number D of complex or Hermitian matrices, one can define a D -> infinity limit for which the sum over planar diagrams truncates to a tractable, yet non-trivial, sum over melon diagrams. In particular, results obtained recently in SYK and tensor models can be generalized to traditional, string-inspired matrix quantum mechanical models of black holes.
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