Noncommutative Gauge Theories in Matrix Theory

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  • 22 January 1998
Abstract
We present a general framework for Matrix theory compactified on a quotient space of n dimensional Euclidean space over G, with G a discrete group of Euclidean motions. The general solution to the quotient conditions gives a gauge theory on a noncommutative space. We characterize the resulting noncommutative gauge theory in terms of the twisted group algebra of G associated with a projective regular representation.

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