Work

Description of Curved Spacetimes by Finite-Size Matrices in the Type IIB Matrix Model

Year: 2026

Type: article

Abstract: 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 that 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 T2n and S2 in detail.

Source: Progress of Theoretical and Experimental Physics

DOI: 10.1093/ptep/ptag120

Authors: Keiichiro Hattori, Tatsuya Seko, Asato Tsuchiya

Institution: Shizuoka University

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $979

Funder: Sponsoring Consortium for Open Access Publishing in Particle Physics