Higher Level Open String States from Vacuum String Field Theory

Details Higher Level Open String States from Vacuum String Field Theory Higher Level Open String States from Vacuum String Field Theory

2002-08-09

arxiv.org/abs/hep-th/0208067v2

JHEP 0209 (2002) 027

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, no figures, LaTeX, v2:minor corrections

Scientific paper

10.1088/1126-6708/2002/09/027

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.

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