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

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

2011-06-27

arxiv.org/abs/1106.5314v2

Prog. Theor. Phys. 126 (2011), 1077-1089

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1143/PTP.126.1077

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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