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The spectrum of the Neumann matrix with zero modes

Feng, B., He, Y. and Moeller, N. (2002). The spectrum of the Neumann matrix with zero modes. Journal of High Energy Physics, 2002(038), doi: 10.1088/1126-6708/2002/04/038


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 archiveprefix: arXiv primaryclass: hep-th
Publisher Keywords: string field theory, bosonic strings
Subjects: Q Science > QC Physics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
Date available in CRO: 20 Feb 2012 11:20
Date of first online publication: 2002
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