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Abstract

We calculate the spectrum of the matrix M' of Neumann coefficients of the Witten vertex, expressed in the oscillator basis including the zero-mode a_0. We find that in addition to the known continuous spectrum inside [-1/3,0) of the matrix M without the zero-modes, there is also an additional eigenvalue inside (0,1). For every eigenvalue, there is a pair of eigenvectors, a twist-even and a twist-odd. We give analytically these eigenvectors as well as the generating function for their components. Also, we have found an interesting critical parameter b_0 = 8 ln 2 on which the forms of the eigenvectors depend.

Publication Type:	Article
Additional Information:	The original publication is available at http://iopscience.iop.org/1126-6708/2002/04/038/ archiveprefix: arXiv primaryclass: hep-th
Publisher Keywords:	string field theory, bosonic strings
Subjects:	Q Science > QC Physics
Departments:	School of Science & Technology > Mathematics

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