Noncommutative Gauge Theories in Matrix Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, Latex, discussions on orientifolds added

Scientific paper

10.1103/PhysRevD.58.066003

We present a general framework for Matrix theory compactified on a quotient space R^n/G, with G a discrete group of Euclidean motions in R^n. 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. Also we show how to extend our treatments to incorporate orientifolds.

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