Fluctuations around the Tachyon Vacuum in Open String Field Theory

Abstract

We consider quadratic fluctuations around the tachyon vacuum numerically in open string field theory. We work on a space ${\mathcal{H}}_N^{\mathrm{vac}}$ spanned by basis string states used in the Schnabl's vacuum solution. We show that the truncated form of the Schnabl's vacuum solution on ${\mathcal{H}}_N^{\mathrm{vac}}$ is well-behaved in numerical work. The orthogonal basis for the new BRST operator $\tilde{Q}$ on ${\mathcal{H}}_N^{\mathrm{vac}}$ and the quadratic forms of potentials for independent fields around the vacuum are obtained. Our numerical results support that the Schnabl's vacuum solution represents the minimum energy solution for arbitrary fluctuations also in open string field theory.

16 pages, 2 figures, some comments and one table added, version to appear in JHEP

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• Solutions from boundary condition changing operators in open string field theory
• The boundary state from open string fields
• Linear b-Gauges for Open String Fields
• Solutions from boundary condition changing operators in open superstring field theory
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• One-Loop Riemann Surfaces in Schnabl Gauge
• Pure Gauge Configurations and Solutions to Fermionic Superstring Field Theories Equations of Motion
• The Tachyon Potential in the Sliver Frame
• Conservation laws and tachyon potentials in the sliver frame