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arXiv · 1209.4406

Singularities in K-space and Multi-brane Solutions in Cubic String Field Theory

Hiroyuki Hata·Toshiko Kojita
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Abstract

In a previous paper [arXiv:1111.2389], we studied the multi-brane solutions in cubic string field theory by focusing on the topological nature of the "winding number" N which counts the number of branes. We found that N can be non-trivial owing to the singularity from the zero-eigenvalue of K of the KBc algebra, and that solutions carrying integer N and satisfying the EOM in the strong sense is possible only for N=0,\pm 1. In this paper, we extend the construction of multi-brane solutions to |N|\ge 2. The solutions with N=\pm 2 is made possible by the fact that the correlator is invariant under a transformation exchanging K with 1/K and hence K=\infty eigenvalue plays the same role as K=0. We further propose a method of constructing solutions with |N|\ge 3 by expressing the eigenvalue space of K as a sum of intervals where the construction for |N|\le 2 is applicable.

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Hiroyuki Hata, Toshiko Kojita. 2013-07-25. Singularities in K-space and Multi-brane Solutions in Cubic String Field Theory. https://doi.org/10.1007/jhep02(2013)065

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