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The spectrum of the Neumann matrix with zero modes

Feng, B., He, Y. & 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

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 Mathematics, Computer Science & Engineering > Mathematics
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