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Proof of vanishing cohomology at the tachyon vacuum

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arxiv hep-th/0606142 v2 pith:L6S4I5E3 submitted 2006-06-15 hep-th

Ian Ellwood , Martin Schnabl This is my paper
classification hep-th
keywords tachyonvacuumproofstateactedanalyticbosonicbrst
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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.

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Cited by 1 Pith paper

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  1. Singular field redefinition between Witten's string field theory and Witten's theory deformed by Ellwood invariant

    hep-th 2026-01 conditional novelty 6.0 of 10

    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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