Exact Solutions in SFT and Marginal Deformation in BCFT

TL;DR

This paper explores exact solutions in open bosonic string field theory using boundary conformal field theory techniques, demonstrating how fluctuations around classical solutions relate to marginal deformations of the boundary theory.

Contribution

It introduces a method to relate solutions in string field theory to boundary conformal field theory deformations, providing a new perspective on classical solutions and their fluctuations.

Findings

String field theory actions around classical solutions can be mapped to deformed boundary CFTs.

Solutions are constructed using operators from the chiral algebra on the identity element.

The approach connects string field theory solutions with marginal boundary deformations.

Abstract

In this note we will study solution of open bosonic string field theory based on action of operators from chiral algebra of boundary conformal field theory on identity element of string field theory star algebra. We will demonstrate that the string field theory action for fluctuation fields around this classical solution can be mapped to the string field theory action defined through the new boundary conformal field theory that arises from the original one through the marginal deformation inserted on the world-sheet boundary.