The closed string field theory action vanishes

TL;DR

This paper demonstrates that the classical action of closed string field theory becomes zero when evaluated on solutions satisfying the equations of motion, using the dilaton theorem.

Contribution

It provides a proof that the on-shell classical action in closed string field theory vanishes, utilizing the dilaton theorem.

Findings

Classical action of closed string field theory vanishes on-shell

Utilizes the dilaton theorem for the proof

Supports the understanding of string field theory's structure

Abstract

Using the dilaton theorem, we show that the classical action of closed string field theory vanishes on-shell.