Noncommutative Gauge Theories in Matrix Theory

Abstract

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.

11 pages, Latex, discussions on orientifolds added

References in corpus (2)

• Noncommutative Geometry and Matrix Theory: Compactification on Tori
• Twisted Bundle On Quantum Torus and BPS States in Matrix Theory

Cited by in corpus (51)

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