English

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

High Energy Physics - Theory 2012-02-01 v2

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.

Keywords

Cite

@article{arxiv.1106.5314,
  title  = {Homotopy Operators and One-Loop Vacuum Energy at the Tachyon Vacuum},
  author = {Shoko Inatomi and Isao Kishimoto and Tomohiko Takahashi},
  journal= {arXiv preprint arXiv:1106.5314},
  year   = {2012}
}

Comments

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