Kähler structure in the commutative limit of matrix geometry

2016/03/30 by Goro Ishiki, Takaki Matsumoto, Hisayoshi Muraki · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1007/jhep08(2016)042

28 pages

arxiv created 2016/03/30 · arxiv updated 2016/08/24

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 Kähler structure. We find an explicit relation between the Kähler 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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