activity
20162022
most citedInformation metric, Berry connection and Berezin-Toeplitz quantization for matrix geometry

19 citations · 52 across the 8 of their papers we have counts for

collaborators

8 papers

hep-th2022

On the existence of the NS5-brane limit of the plane wave matrix model

Yuhma Asano, Goro Ishiki, Takaki Matsumoto +2

We consider a double scaling limit of the plane wave matrix model (PWMM), in which the gravity dual geometry of PWMM reduces to a class of spherical NS5-brane solutions. We identif…

hep-th2021

Matrix regularization for tensor fields

Hiroyuki Adachi, Goro Ishiki, Satoshi Kanno +1

We propose a novel matrix regularization for tensor fields. In this regularization, tensor fields are described as rectangular matrices and both area-preserving diffeomorphisms and…

hep-th2021★ 5 cited

Laplacians on Fuzzy Riemann Surfaces

Hiroyuki Adachi, Goro Ishiki, Satoshi Kanno +1

We consider the matrix regularization of scalar fields on a Riemann surface with a general gauge-field background. We propose a construction of the fuzzy version of the Laplacian.

hep-th2020★ 8 cited

The matrix regularization for Riemann surfaces with magnetic fluxes

Hiroyuki Adachi, Goro Ishiki, Takaki Matsumoto +1

We consider the matrix regularization of fields on a Riemann surface which couple to gauge fields with a nonvanishing magnetic flux. We show that such fields are described as recta…

hep-th2019★ 2 cited

Diffeomorphisms on Fuzzy Sphere

Goro Ishiki, Takaki Matsumoto

Diffeomorphisms can be seen as automorphisms of the algebra of functions. In the matrix regularization, functions on a smooth compact manifold are mapped to finite size matrices. W…

hep-th2018★ 19 cited

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…

hep-th2018★ 4 cited

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…

hep-th2016★ 14 cited

Kähler structure in the commutative limit of matrix geometry

Goro Ishiki, Takaki Matsumoto, Hisayoshi Muraki

We consider the commutative limit of matrix geometry described by a large- sequence of some Hermitian matrices. Under some assumptions, we show that the commutative geometry pos…