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.
Proof of vanishing cohomology at the tachyon vacuum
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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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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.