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We investigate the Kaluza--Klein (KK) spectrum of N=1 supersymmetric gaugetheory compactified on a circle. We concentrate on a model with gauge groupSU(2) and four massless matter fields in the fundamental representation. Wederive the exact mass formula of KK modes by using Seiberg--Witten theory. Fromthe mass formula and the D3-brane probe realization, we determine the spectrumof KK modes of matter fields and gauge fields. As a result, we find that thelightest KK state of gauge fields is stable for all the vacuum moduli space,while the lightest KK state of matter fields decays easier than other KK statesin a region of the moduli space. The region becomes small as we decrease thefive-dimensional gauge coupling constant g_5, and vanishes as we take the limitg_5->0. This result continuously connects the known KK spectrum in the weakcoupling limit and that in the strong coupling limit.Comment: 14 pages, 8 figure

Coupling Constant Dependence of the Kaluza-Klein Spectrum in Five-Dimensional SQCD on S1