8 citations · 13 across the 5 of their papers we have counts for
5 papers
Matrix regularization for gauge theories
Hiroyuki Adachi, Goro Ishiki, Satoshi Kanno
We consider how gauge theories can be described by matrix models. Conventional matrix regularization is defined for scalar functions and is not applicable to gauge fields, which ar…
Vector bundles on fuzzy Kähler manifolds
Hiroyuki Adachi, Goro Ishiki, Satoshi Kanno
We propose a matrix regularization of vector bundles over a general closed Kähler manifold. This matrix regularization is given as a natural generalization of the Berezin-Toeplitz…
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…