Marginal Deformations as Lower Dimensional D-brane Solutions in Open String Field theory

TL;DR

This paper constructs an all-orders analytic solution for marginal deformations in open string field theory with singular OPEs, successfully describing lower-dimensional D-branes and aligning with conformal field theory results.

Contribution

It provides a finite, explicit analytic solution for marginal deformations involving singular OPEs, extending the understanding of D-brane configurations in string field theory.

Findings

Derived a finite analytic solution for marginal deformations

Described lower-dimensional D-branes within open string field theory

Results agree with conformal field theory calculations

Abstract

By direct calculation we showed that a finite analytic solution for marginal deformation of open string field theory, by a matter primary operator with singular OPE, can be obtained to all orders in the deformation parameter. In particular, we obtained solutions that describe lower dimensional D-branes and our results agree with the results obtained when the same problem is treated in the world-sheet conformal field theory language.