Proof of vanishing cohomology at the tachyon vacuum

Abstract

We prove Sen's third conjecture that there are no on-shell perturbative excitations of the tachyon vacuum in open bosonic string field theory. The proof relies on the existence of a special state A, which, when acted on by the BRST operator at the tachyon vacuum, gives the identity. While this state was found numerically in Feynman-Siegel gauge, here we give a simple analytic expression.

19 pages, 4 figures; v2: references added

References in corpus (3)

• Comments on Schnabl's analytic solution for tachyon condensation in Witten's open string field theory
• On the validity of the solution of string field theory
• The Spectrum of Open String Field Theory at the Stable Tachyonic Vacuum

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