arXiv subjects

Keiichiro Hattori

Publications and source records attributed to Keiichiro Hattori.

2 recordsLinked to original sources

arXiv2026

Description of curved spacetimes by finite-size matrices in the type IIB matrix model

The type IIB matrix model is expected to give a nonperturbative formulation of superstring theory. Its covariant derivative interpretation provides a method to describe curved spacetimes in the model. There, matrices are identified with certain covariant derivatives which can be viewed as infinite-size matrices. Here, by using the Berezin-Toeplitz quantization, we develop a method to regularize these matrices as finite-size ones, which is needed to calculate quantum effects in the interpretation or in particular to apply the interpretation to the results of numerical simulations. As examples, we examine the cases of $T^{2n}$ and $S^2$ in detail.

hep-th↗

arXiv2025

Regularization of matrices in the covariant derivative interpretation of matrix models

We study regularization of matrices in the covariant derivative interpretation of matrix models, a typical example of which is the type IIB matrix model. The covariant derivative interpretation provides a possible way in which curved spacetimes are described by matrices, which are viewed as differential operators. One needs to regularize the operators as matrices with finite size in order to apply the interpretation to nonperturbative calculations such as numerical simulations. We develop a regularization of the covariant derivatives in two dimensions by using the Berezin-Toeplitz quantization. As examples, we examine the cases of $S^2$ and $T^2$ in details.

hep-th↗