Mtheory as a matrix model: A conjecture

1996/10/31 by T. Banks, W. Fischler, Willy Fischler +4 · 1 voice · 259 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1103/physrevd.55.5112

published as Phys.Rev.D55:5112-5128,1997 · Typo and tex error corrected. 41 pages, harvmac

arxiv created 1997/01/15 · openalex publication_date 1997/04/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We suggest and motivate a precise equivalence between uncompactified 11-dimensional M theory and the N=\ensuremath∞ 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.

Citations

• Another Length Scale in String Theory?
• Entropy bounds and black hole remnants
• Dirichlet Branes and Ramond-Ramond Charges
• Superstrings in D=10 from supermembranes in D=11

Cited by

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• M(atrix)-theory in various dimensions
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• ARGUMENTS FOR F-THEORY
• IIB matrix model with D1–D5 backgrounds
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Discussions

• Maybe we're *all* weirdos made of matrices, hmm? (c.f. arxiv.org/abs/hep-th/9... ) [bsky, 1 points, 0 comments]