M theory as a matrix model: A conjecture. Reprints. (English) Zbl 1156.81433

Banks, T.; Fischler, W.; Shenker, S. H.; Susskind, L.

Duff, M.J. (ed.), The world in eleven dimensions: supergravity, supermembranes and M-theory. Bristol: IoP, Institute of Physics Publishing (ISBN 0-7503-0672-6/pbk; 0-7503-0671-8/hbk). Stud. High Energy Phys. Cosmol. Gravit., 435-451 (1999).

We suggest and motivate a precise equivalence between uncompactified eleven dimensional M-theory and the N = infinity 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.
For the entire collection see [Zbl 0999.00513].

MSC:

81T30

String and superstring theories; other extended objects (e.g., branes) in quantum field theory