Why is the Matrix Model Correct?

Details Why is the Matrix Model Correct? Why is the Matrix Model Correct?

1997-10-01

arxiv.org/abs/hep-th/9710009v1

Phys.Rev.Lett.79:3577-3580,1997

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

10.1103/PhysRevLett.79.3577

We consider the compactification of M theory on a light-like circle as a limit of a compactification on a small spatial circle boosted by a large amount. Assuming that the compactification on a small spatial circle is weakly coupled type IIA theory, we derive Susskind's conjecture that M theory compactified on a light-like circle is given by the finite $N$ version of the Matrix model of Banks, Fischler, Shenker and Susskind. This point of view provides a uniform derivation of the Matrix model for M theory compactified on a transverse torus $T^p$ for $p=0,...,5$ and clarifies the difficulties for larger values of $p$.

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