Half-String Approach to Closed String Field Theory

TL;DR

This paper introduces an operator formalism for Closed String Field Theory using closed half-strings, representing classical non-polynomial string interactions as traces of infinite matrices with reparametrisation operators.

Contribution

It develops a novel operator formalism for closed string field theory based on half-strings, providing a new mathematical representation of string interactions.

Findings

Classical non-polynomial string field theory interactions can be represented as traces of infinite matrices.

The formalism employs operator insertions that reparametrize the half-strings.

The approach offers a new perspective on the mathematical structure of string interactions.

Abstract

In this letter we present an operator formalism for Closed String Field Theory based on closed half-strings. Our results indicate that the restricted polyhedra of the classical non-polynomial string field theory, can be represented as traces of infinite matrices, with operator insertions that reparametrise the half-strings.