A New Class of Two-Dimensional Noncommutative Spaces

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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19 pages

Scientific paper

10.1088/1126-6708/2002/03/039

We find an infinite number of noncommutative geometries which posses a
differential structure. They generalize the two dimensional noncommutative
plane, and have infinite dimensional representations. Upon applying generalized
coherent states we are able to take the continuum limit, where we recover the
punctured plane with non constant Poisson structures.

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