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

Understand

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.