Construction of the noncommutative complex ball

Zhituo Wang

doi:10.1063/1.4895018

Construction of the noncommutative complex ball

Zhituo Wang^*

^*Corresponding author for this work

Dipartimento di Matematica

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Article number	092302
Journal	Journal of Mathematical Physics
Volume	55
Issue number	9
DOIs	https://doi.org/10.1063/1.4895018
State	Published - 12 Sep 2014
Externally published	Yes

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title = "Construction of the noncommutative complex ball",

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

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Construction of the noncommutative complex ball

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