Open Superstring Star as a Continuous Moyal Product

TL;DR

This paper demonstrates that the matter part of the open superstring star can be represented as a continuous Moyal product of functions of anti-commuting variables, simplifying key string field theory elements.

Contribution

It introduces a novel representation of the open superstring star as a continuous Moyal product, providing simpler expressions for the identity and sliver states.

Findings

Identity and sliver states have simple expressions in this representation

The relation with half-string fermionic variables is established

The matter part of the superstring star is identified with a continuous Moyal product

Abstract

By diagonalizing the three-string vertex and using a special coordinate representation the matter part of the open superstring star is identified with the continuous Moyal product of functions of anti-commuting variables. We show that in this representation the identity and sliver have simple expressions. The relation with the half-string fermionic variables in continuous basis is given.