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arXiv · 1603.09146

K\"{a}hler structure in the commutative limit of matrix geometry

Goro Ishiki·Takaki Matsumoto·Hisayoshi Muraki
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Abstract

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 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.

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Goro Ishiki, Takaki Matsumoto, Hisayoshi Muraki. 2016-03-30. K\"{a}hler structure in the commutative limit of matrix geometry. https://doi.org/10.1007/jhep08(2016)042

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