Abstract
Abstract The KBc algebra is a subalgebra that has been used to construct classical solutions in Witten’s open string field theory, such as the tachyon vacuum solution. The main purpose of this paper is to give various operator sets that satisfy the KBc algebra. In addition, since those sets can contain matter operators arbitrarily, we can reproduce the solution of Kiermaier, Okawa, and Soler, and that of Erler and Maccaferri. Starting with a single D-brane solution on the tachyon vacuum, we replace the original KBc in it with an appropriate set to generate each of the above solutions. Thus, it is expected that the KBc algebra, combined with the single D-brane solution, leads to a more unified description of classical solutions.
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