Numerical twist-even SU(1,1)-singlet solutions in open string field theory around the identity-based solution

Abstract

Using the level truncation method, we construct numerical solutions, which are twist even and SU(1,1) singlet, in the theory around the Takahashi-Tanimoto identity-based solution (TT solution) with a real parameter $a$ in the framework of bosonic open string field theory. We find solutions corresponding to "double brane" and "ghost brane" solutions which were constructed by Kudrna and Schnabl in the conventional theory around the perturbative vacuum. Our solutions show somewhat similar $a$-dependence to tachyon vacuum and single brane solutions, which we found in the earlier works. In this sense, we might be able to expect that they are consistent with the conventional interpretation of $a$-dependence of the TT solution. We observe that numerical complex solutions at low levels become real ones at higher levels for some region of the parameter $a$. However, these real solutions do not so improve interpretation for double brane.