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Proof of vanishing cohomology at the tachyon vacuum

2006/06/30 by Ian Ellwood, Martin Schnabl
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1088/1126-6708/2007/02/096

published as JHEP 0702:096,2007 · 19 pages, 4 figures; v2: references added

arxiv created 2006/08/25 · arxiv updated 2010/10/27

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.

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