In this chapter the quantization of the commutative sphere which yields the noncommutative fuzzy sphere is discussed in great detail. We explicitly construct coherent states, the star product, the flattening limit as well as noncommutative scalar field theories on the fuzzy sphere. A brief introduction to fuzzy CP2 and to fuzzy fermions and Dirac operators on the fuzzy sphere is also presented.
CITATION STYLE
Ydri, B. (2017). The fuzzy sphere. Lecture Notes in Physics, 929, 73–118. https://doi.org/10.1007/978-3-319-46003-1_3
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