Why is the Matrix Model Correct?

Abstract

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 $p$.

9 pages

References in corpus (9)

• Matrix Description of M-theory on $T^5$ and $T^5/Z_2$
• Another Conjecture about M(atrix) Theory
• Matrix Description of M-theory on $T^4$ and $T^5$
• Higher Order Graviton Scattering in M(atrix) Theory
• Matrix Theory and U-Duality in Seven Dimensions
• Branes probing black holes
• Matrix Description of M-theory on $T^6$
• M(atrix) Theory on $T^6$ and a m(atrix) Theory Description of KK Monopoles
• On The M(atrix)-Model For M-Theory On $T^6$

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