The energy of the analytic lump solution in SFT

TL;DR

This paper calculates the energy of an analytic lump solution in open string field theory, confirming it matches the expected D24 brane energy through numerical and analytical methods.

Contribution

It introduces a method to find exact analytic solutions in open string field theory using RG flow, and computes their energies to confirm their physical interpretation.

Findings

The energy of the lump solution matches the expected D24 brane energy.

Both numerical and analytical calculations support the results.

The method provides a way to verify the physical nature of solutions in SFT.

Abstract

In a previous paper a method was proposed to find exact analytic solutions of open string field theory describing lower dimensional lumps, by incorporating in string field theory an exact renormalization group flow generated by a relevant operator in a worldsheet CFT. In this paper we compute the energy of one such solution, which is expected to represent a D24 brane. We show, both numerically and analytically, that its value corresponds to the theoretically expected one.