7 papers
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…
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…
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.
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…
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…
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…