M theory as a matrix model: A conjecture

Phys. Rev. D 55, 5112 – Published 15 April 1997
T. Banks, W. Fischler, S. H. Shenker, and L. Susskind


We suggest and motivate a precise equivalence between uncompactified 11-dimensional M theory and the N= limit of the supersymmetric matrix quantum mechanics describing D0 branes. The evidence for the conjecture consists of several correspondences between the two theories. As a consequence of supersymmetry the simple matrix model is rich enough to describe the properties of the entire Fock space of massless well separated particles of the supergravity theory. In one particular kinematic situation the leading large distance interaction of these particles is exactly described by supergravity. The model appears to be a nonperturbative realization of the holographic principle. The membrane states required by M theory are contained as excitations of the matrix model. The membrane world volume is a noncommutative geometry embedded in a noncommutative spacetime.

DOI: http://dx.doi.org/10.1103/PhysRevD.55.5112

  • Received 13 December 1996
  • Published in the issue dated 15 April 1997

© 1997 The American Physical Society

Authors & Affiliations

T. Banks1, W. Fischler2, S. H. Shenker1, and L. Susskind3

  • 1Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08855-0849
  • 2Theory Group, Department of Physics, University of Texas, Austin, Texas 78712
  • 3Department of Physics, Stanford University, Standford, California 94305-4060

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