Vacuum String Field Theory ancestors of the GMS solitons

TL;DR

This paper constructs a sequence of vacuum string field theory D-branes that correspond to GMS solitons in the low energy limit, using Laguerre polynomial operators and a background B field to regularize the theory.

Contribution

It introduces a novel method to generate GMS solitons from VSFT D-branes via Laguerre polynomial operators, establishing an algebraic isomorphism under star and Moyal products.

Findings

Established a direct algebraic correspondence between VSFT D-branes and GMS solitons.

Demonstrated the use of Laguerre polynomial operators to generate a sequence of solutions.

Embedded the theory in a background B field to achieve a regularized field theory limit.

Abstract

We define a sequence of VSFT D-branes whose low energy limit leads exactly to a corresponding sequence of GMS solitons. The D-branes are defined by acting on a fixed VSFT lump with operators defined by means of Laguerre polynomials whose argument is quadratic in the string creation operators. The states obtained in this way form an algebra under the SFT star product, which is isomorphic to a corresponding algebra of GMS solitons under the Moyal product. In order to obtain a regularized field theory limit we embed the theory in a constant background B field.