Exploring Vacuum Structure around Identity-Based Solutions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, 5 figures; new numerical data up to level (20,60) included; Contribution to the proceedings of "Second International

Scientific paper

We explore the vacuum structure in bosonic open string field theory expanded around an identity-based solution parameterized by $a(>=-1/2)$. Analyzing the expanded theory using level truncation approximation up to level 20, we find that the theory has the tachyon vacuum solution for $a>-1/2$. We also find that, at $a=-1/2$, there exists an unstable vacuum solution in the expanded theory and the solution is expected to be the perturbative open string vacuum. These results reasonably support the expectation that the identity-based solution is a trivial pure gauge configuration for $a>-1/2$, but it can be regarded as the tachyon vacuum solution at $a=-1/2$.

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