Higher Level Open String States from Vacuum String Field Theory

Abstract

We construct massive open string states around a classical solution in the oscillator formulation of Vacuum String Field Theory. In order for the correct mass spectrum to be reproduced, the projection operators onto the modes of the left- and right-half of the string must have an anomalous eigenvalue 1/2, and the massive states are constructed using the corresponding eigenvector. We analyze numerically the projection operators by regularizing them to finite size matrices and confirm that they indeed have eigenvalue 1/2. Beside the desired massive states, we have spurious massive as well as massless states, which are infinitely degenerate. We show that these unwanted states can be gauged away.

arXiv comment16 pages, no figures, LaTeX, v2:minor corrections

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• Tachyon Condensation and Universal Solutions in String Field Theory
• Gauge Fixing and Scattering Amplitudes in String Field Theory Expanded around Universal Solutions
• Dressed Sliver solutions in Vacuum String Field Theory
• The Perturbative Spectrum of the Dressed Sliver
• Chan-Paton factors and Higgsing from Vacuum String Field Theory
• Boundary and Midpoint Behaviors of Lump Solutions in Vacuum String Field Theory
• Gauge Structure of Vacuum String Field Theory
• Interpolating State in String Field Theory
• Exact Results on Equations of Motion in Vacuum String Field Theory