Noncommutative field theory
Michael R. DouglasDepartment of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08855Nikita NekrasovInstitut des Hautes Etudes Scientifiques, 35 route des Chartres, 91440 Bures-sur-Yvette, France
2001en
ABI
Abstract
This article reviews the generalization of field theory to space-time with noncommuting coordinates, starting with the basics and covering most of the active directions of research. Such theories are now known to emerge from limits of M theory and string theory and to describe quantum Hall states. In the last few years they have been studied intensively, and many qualitatively new phenomena have been discovered, on both the classical and the quantum level.
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Cited by 20 references