Realizing chiral fermions in the type IIB matrix model at finite N

TL;DR

This paper demonstrates how chiral fermions can be realized in the type IIB matrix model at finite N by using a matrix analogue of warped space-time, addressing a key challenge in nonperturbative string theory formulations.

Contribution

It provides a constructive approach to realize chiral fermions in the type IIB matrix model at finite N, including a necessary condition on extra dimensions and a matrix warped space-time construction.

Findings

Chiral fermions can be realized in the type IIB matrix model.

A matrix analogue of warped space-time enables chiral fermions.

The approach addresses difficulties in lattice gauge theory for chiral fermions.

Abstract

We discuss how chiral fermions can appear in the type IIB matrix model, which is considered to be a nonperturbative formulation of superstring theory. In particular, we are concerned with a constructive definition of the theory, in which we start with a finite-N configuration and take the large-N limit later on. We point out that there exists a certain necessary condition which the structure of the extra dimensions should satisfy. As an example, we consider a previous proposal using intersecting branes and show that chiral fermions can indeed be realized in four dimensions by introducing a matrix counterpart of warped space-time. This is remarkable in view of the well-known difficulty in realizing chiral fermions in lattice gauge theory.