Homotopy Operators and One-Loop Vacuum Energy at the Tachyon Vacuum

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.

16 pages, LaTeX with PTPTeX.cls;v2: comments and footnotes added

References in corpus (4)

• A Simple Analytic Solution for Tachyon Condensation
• The Spectrum of Open String Field Theory at the Stable Tachyonic Vacuum
• Comments on regularization of identity based solutions in string field theory
• General Linear Gauges and Amplitudes in Open String Field Theory

Cited by in corpus (10)

• Solutions from boundary condition changing operators in open string field theory
• Solutions from boundary condition changing operators in open superstring field theory
• Comments on Takahashi-Tanimoto's scalar solution
• Open String Fields as Matrices
• Closed string symmetries in open string field theory: tachyon vacuum as sine-square deformation
• Tachyon Vacuum of Bosonic Open String Field Theory in Marginally Deformed Backgrounds
• Deriving on-shell open string field amplitudes without using Feynman rules
• Comments on real tachyon vacuum solution without square roots
• Observables for identity-based tachyon vacuum solutions
• Singular field redefinition between Witten's string field theory and Witten's theory deformed by Ellwood invariant