Exploring Vacuum Structure around Identity-Based Solutions

Abstract

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 $a=-1/2$.

12 pages, 5 figures; new numerical data up to level (20,60) included; Contribution to the proceedings of "Second International Conference on String Field Theory and Related Aspects" (Steklov Mathematical Institute, Moscow, Russia, April 12-19, 2009)

References in corpus (3)

• Proof of vanishing cohomology at the tachyon vacuum
• Vacuum structure around identity based solutions
• Numerical Evaluation of Gauge Invariants for $a$-gauge Solutions in Open String Field Theory

Cited by in corpus (9)

• Analytical Solutions of Open String Field Theory
• Connecting Solutions in Open String Field Theory with Singular Gauge Transformations
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• Homotopy Operators and One-Loop Vacuum Energy at the Tachyon Vacuum
• Homotopy Operators and Identity-Based Solutions in Cubic Superstring Field Theory
• Numerical twist-even SU(1,1)-singlet solutions in open string field theory around the identity-based solution
• Gauge invariant observables from Takahashi-Tanimoto scalar solutions in open string field theory
• Numerical universal solutions in $a$-gauge in open string field theory
• A Matrix model from string field theory