K\"{a}hler structure in the commutative limit of matrix geometry
High Energy Physics - Theory
2016-08-24 v1
Abstract
We consider the commutative limit of matrix geometry described by a large- sequence of some Hermitian matrices. Under some assumptions, we show that the commutative geometry possesses a K\"{a}hler structure. We find an explicit relation between the K\"{a}hler structure and the matrix configurations which define the matrix geometry. We also find a relation between the matrix configurations and those obtained from the geometric quantization.
Cite
@article{arxiv.1603.09146,
title = {K\"{a}hler structure in the commutative limit of matrix geometry},
author = {Goro Ishiki and Takaki Matsumoto and Hisayoshi Muraki},
journal= {arXiv preprint arXiv:1603.09146},
year = {2016}
}
Comments
28 pages