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.
Homotopy Operators and One-Loop Vacuum Energy at the Tachyon Vacuum
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abstract
We construct the homotopy operators for the BRST operator in the theory around the identity-based solutions, which are believed to represent the tachyon vacuum in cubic bosonic open string field theory. Using the homotopy operators, we find that the one-loop vacuum energy at the tachyon vacuum is independent of moduli such as interbrane distances, which are included in the BRST operator. We also revisit the cohomology problem, which was solved earlier without the homotopy operators.
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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.