44 citations · 46 across the 3 of their papers we have counts for
5 papers · 1 filter
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…
Commutative Geometry for Non-commutative D-branes by Tachyon Condensation
Tsuguhiko Asakawa, Goro Ishiki, Takaki Matsumoto +2
There is a difficulty in defining the positions of the D-branes when the scalar fields on them are non-abelian. We show that we can use tachyon condensation to determine the positi…
Dual Frobenius manifolds of minimal gravity on disk
Aditya Bawane, Hisayoshi Muraki, Chaiho Rim
Liouville field theory approach to 2-dimensional gravity possesses the duality (). The matrix counterpart of minimal gravity ( co-…