Soliton Solutions of M-theory on an Orbifold

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We explicitly construct soliton solutions in the low energy description of M-theory on S¹/Z₂. It is shown that the 11-dimensional membrane is a BPS solution of this theory if stretched between the Z₂ hyperplanes. A similar statement holds for the 11-dimensional 5--brane oriented parallel to the hyperplanes. The parallel membrane and the orthogonal 5-brane, though solutions, break all supersymmetries. Furthermore, we construct the analog of the gauge 5-brane with gauge instantons on the hyperplanes. This solution varies nontrivially along the orbifold direction due to the gauge anomalies located on the orbifold hyperplanes. Its zero mode part is identical to the weakly coupled 10-dimensional gauge 5-brane.