Non-BPS Walls and Their Stability in 5D Supersymmetric Theory
arXiv:hep-th/0404114 · doi:10.1016/j.nuclphysb.2004.07.001
Abstract
An exact solution of non-BPS multi-walls is found in supersymmetric massive T^\star(\mathbb{CP}^1) model in five dimensions. The non-BPS multi-wall solution is found to have no tachyon. Although it is only metastable under large fluctuations, we can give topological stability by considering a model with a double covering of the T^\star(\mathbb{CP}^1) target manifold. The {\cal N}=1 supersymmetry preserved on the four-dimensional world volume of one wall is broken by the coexistence of the other wall. The supersymmetry breaking is exponentially suppressed as the distance between the walls increases.
38 pages, 8 figures, references added, citation modified, final version to appear in NPB
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