World Sheet 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 Feynmanpropagator of open string field theory expanded aboutthe solution are specified by theJenkins-Strebel quadratic differential,which describes the geometry of the string world sheet.We show that the solution becomes nontrivialwhen two second order poles of the quadratic differential coincideon the unit disk.