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.
The Identity String Field and the Tachyon Vacuum
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abstract
We show that the triviality of the entire cohomology of the new BRST operator Q around the tachyon vacuum is equivalent to the Q-exactness of the identity I of the star-algebra. We use level truncation to show that as the level is increased, the identity becomes more accurately Q-exact. We carry our computations up to level nine, where an accuracy of 3% is attained. Our work supports, under a new light, Sen's conjecture concerning the absence of open string degrees of freedom around the tachyon vacuum. As a by-product, a new and simple expression for I in terms of Virasoro operators is found.
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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.