Split String Formalism and the Closed String Vacuum

TL;DR

This paper explores generalizations of Schnabl's analytic solution in open string field theory using the split string formalism, including arbitrary functions of wedge states and different conformal frames.

Contribution

It introduces two novel generalizations of the analytic solution, expanding the applicability of the split string formalism in string field theory.

Findings

Generalized solutions using arbitrary functions of wedge states

Extended solutions to conformal frames beyond the sliver

Framework for constructing new analytic solutions

Abstract

The split string formalism offers a simple template upon which we can build many generalizations of Schnabl's analytic solution of open string field theory. In this paper we consider two such generalizations: one which replaces the wedge state by an arbitrary function of wedge states, and another which generalizes the solution to conformal frames other than the sliver.