Symplectic structure in open string field theory II: Sliding lump

TL;DR

This paper introduces a new method to compute the momentum of moving D-brane solutions in open string field theory, linking symplectic structure to D-brane tension and confirming consistency with on-shell action calculations.

Contribution

It presents a novel formula for symplectic structure and demonstrates its application to verify D-brane tension matches the on-shell action prediction.

Findings

New formula for symplectic structure in string field theory

Verification that D-brane tension matches on-shell action

Method for computing momentum of moving string solutions

Abstract

We use a new formula for symplectic structure to compute the momentum of an analytic lump solution moving at constant velocity in Witten's open string field theory. The computation gives a new way to determine the D-brane tension in string field theory. Using homotopy algebra technology, we prove that this tension must agree with the value implied by the on-shell action.