1 citations · 1 across the 1 of their papers we have counts for
7 papers
Noncommutativity in two-matrix model extension of one-dimensional topological gravity
Hisayoshi Muraki
One-dimensional topological gravity is defined as a Gaussian integral as its partition function. The Gaussian integral supplies a toy model as a simpler version of one-matrix model…
The null identities for boundary operators in the minimal gravity
Goro Ishiki, Hisayoshi Muraki, Chaiho Rim
By using the matrix-model representation, we show that correlation numbers of boundary changing operators (BCO) in minimal Liouville gravity satisfy some identities, whi…
From minimal gravity to open intersection theory
Alexander Alexandrov, Hisayoshi Muraki, Chaiho Rim
We investigated the relation between the two-dimensional minimal gravity (Lee-Yang series) with boundaries and open intersection theory. It is noted that the minimal gravity with b…
Open KdV hierarchy of 2d minimal gravity of Lee-Yang series
Hisayoshi Muraki, Chaiho Rim
We present the open KdV hierarchy of 2d minimal gravity of Lee-Yang series which uses the boundary cosmological constant as a flow parameter. The boundary cosmological constant is…
Information metric, Berry connection and Berezin-Toeplitz quantization for matrix geometry
Goro Ishiki, Takaki Matsumoto, Hisayoshi Muraki
We consider the information metric and Berry connection in the context of noncommutative matrix geometry. We propose that these objects give a new method of characterizing the fuzz…
Open KdV hierarchy and minimal gravity on disk
Aditya Bawane, Hisayoshi Muraki, Chaiho Rim
We show that the minimal gravity of Lee-Yang series on disk is a solution to the open KdV hierarchy proposed for the intersection theory on the moduli space of Riemann surfaces wit…