We solve the problem of finding all eigenvalues and eigenvectors of the Neumann matrix of the matter sector of open bosonic string field theory, including the zero modes, and switching on a background B-field. We give the discrete eigenvalues as roots of t

PreprinttypesetinJHEPstyle.-HYPERVERSION

a

rXiv:hep-th/0203175v1 20 Mar 2002

BoFeng,Yang-HuiHeandNicolasMoeller

CenterforTheoreticalPhysics,

MassachusettsInstituteofTechnology,Cambridge,MA02139,USA

fengb,yhe,moeller@ctp.mit.edu

Abstract:Wesolvetheproblemof ndingalleigenvaluesandeigenvectorsoftheNeumannmatrixofthemattersectorofopenbosonicstring eldtheory,includingthezeromodes,andswitchingonabackgroundB- eld.Wegivethediscreteeigenvaluesasrootsoftranscendentalequations,andwegiveanalyticalexpressionsforalltheeigenvectors.

Keywords:StringFieldTheory,Neumanncoe cients,B- eld.