Construction of the Noncommutative Complex Ball

preprint2014arXivOpen access

Abstract

We describe the construction of the noncommutative complex ball whose commutative analog is the Hermitian symmetric space D=SU(m,1)/U(m)D=SU(m,1)/U(m), with the method of coherent state quantization. In the commutative limit we obtain the standard manifold. We consider also a quantum field theory model on the noncommutative manifold.

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