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Proof of vanishing cohomology at the tachyon vacuum
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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.
Forward citations
Cited by 4 Pith papers
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Deriving on-shell open string field amplitudes without using Feynman rules
New gauge-invariant functionals of the open string field are shown to reproduce on-shell tree-level amplitudes around known D-brane backgrounds without using Feynman rules.
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Singular field redefinition between Witten's string field theory and Witten's theory deformed by Ellwood invariant
A singular field redefinition connects Witten's open string field theory to its Ellwood-invariant deformation, and the tachyon vacuum transfers consistently.
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Numerical solution for tachyon vacuum in the Schnabl gauge
A new level-truncation method reaches level 24 in the Schnabl gauge and shows the tachyon vacuum energy has a local minimum at level 12 before extrapolating toward the analytic value -1.
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On Analytical Solutions in Witten's Cubic Open String Field Theory
A lecture-note review of analytic tachyon vacuum solutions in open string field theory, including a one-parameter family of which the b = -1 member is non-physical.
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