Kähler structure in the commutative limit of matrix geometry

被引:0
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作者
Goro Ishiki
Takaki Matsumoto
Hisayoshi Muraki
机构
[1] University of Tsukuba,Center for Integrated Research in Fundamental Science and Engineering (CiRfSE)
[2] University of Tsukuba,Graduate School of Pure and Applied Sciences
关键词
M(atrix) Theories; Non-Commutative Geometry;
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摘要
We consider the commutative limit of matrix geometry described by a large-N sequence of some Hermitian matrices. Under some assumptions, we show that the commutative geometry possesses a Kähler structure. We find an explicit relation between the Kähler structure and the matrix configurations which define the matrix geometry. We also discuss a relation between the matrix configurations and those obtained from the geometric quantization.
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