Worldsheet Geometry of Classical Solutions in String Field Theory

We investigate classical solutions of string field theory proposed by Takahashi and Tanimoto in the case of even order polynomial functions. The modified BRS charge and the Feynman propagator of open string field theory expanded about the solution are specified by the Jenkins-Strebel quadratic differential, which describes the geometry of the string worldsheet. We show that the solution becomes nontrivial when two second order poles of the quadratic differential coincide on the unit disk. ∗) E-mail: [email protected] 1 typeset using PTPTEX.cls 〈Ver.0.9〉