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We study the stability of Kaluza-Klein (KK) modes in five-dimensional N=1supersymmetric QCD compactified on S^1 using the D3-brane probe realization. Wefind a phenomenon in which the quark KK mode with the KK number n=1 decayswhile other KK modes are stable. This is contrary to the ordinary assumptionthat the state with n=1 is the most stable in quark KK modes. In addition, weshow that a massive gauge singlet state carrying the KK number exists stably.This provides a proper candidate for dark matter.Comment: 13 pages, 6 figure

Non-Perturbative Aspects of Kaluza--Klein Modes in Five-Dimensional Supersymmetric QCD on S1