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Zeeman Spectroscopy of the Star Algebra

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

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Zeeman Spectroscopy of the Star Algebra

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.

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