Noncommutative Geometry From Strings and Branes

Abstract

Noncommutative torus compactification of Matrix model is shown to be a direct consequence of quantization of the open strings attached to a D-membrane with a non-vanishing background $B$ field. We calculate the BPS spectrum of such a brane system using both string theory results and DBI action. The DBI action leads to a new transformation property of the compactification radii under the $SL(2,Z{)}_N$ transformations.

20 pp, Tex file, one table, no figures, typos corrected, minor changs, version to appear in JHEP

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