Construction of the Noncommutative Complex Ball
Mathematical Physics
2014-09-15 v2 High Energy Physics - Theory
Functional Analysis
Group Theory
math.MP
Abstract
We describe the construction of the noncommutative complex ball whose commutative analog is the Hermitian symmetric space , 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.
Keywords
Cite
@article{arxiv.1110.2632,
title = {Construction of the Noncommutative Complex Ball},
author = {Zhituo Wang},
journal= {arXiv preprint arXiv:1110.2632},
year = {2014}
}
Comments
26 pages, section 4 and section 5 have been rewritten. Typos corrected. Title changed. Accepted for publication by Journal of Mathematical Physics. arXiv admin note: text overlap with arXiv:1005.5723