A Matrix model from string field theory

TL;DR

This paper derives a Hermitian matrix model from level truncated open string field theory with Chan-Paton factors, linking it to D-branes and evaluating the effective potential in different regimes.

Contribution

It introduces a novel derivation of a Hermitian matrix model from string field theory incorporating Chan-Paton factors, connecting matrix integrals to brane systems.

Findings

Potential height increases with scalar field in finite and large N cases.

Large N matrix integral corresponds to a system of N ZZ branes and a ghost FZZT brane.

Effective potential evaluated explicitly in different regimes.

Abstract

We demonstrate that a Hermitian matrix model can be derived from level truncated open string field theory with Chan-Paton factors. The Hermitian matrix is coupled with a scalar and a $U(N)$ vector which are responsible for the D-brane at the tachyon vacuum. Effective potential for the scalar is evaluated both in finite and large $N$. Increase of potential height is observed in both examples. The large $N$ matrix integral is identified with a system of $N$ ZZ branes and a ghost FZZT brane.