Open String Fields As Matrices

TL;DR

This paper introduces a matrix-based representation of open string fields in cubic string field theory, enabling the analysis of their algebraic properties and partial isometries.

Contribution

It proposes a novel matrix formulation of open string vertices, facilitating new insights into the algebraic structure of open string fields.

Findings

Representation of string vertices as large matrices

Construction of partial isometries in open string field algebra

New perspective on open string field interactions

Abstract

We present a new representation of the string vertices of the cubic open string field theory. By using this three-string vertex, we attempt to identify open string fields as huge-sized matrices by following Witten's idea. By using these huge matrices, we obtain some results about the construction of partial isometries in the algebra of open string fields.