  The [U(1)]^{N-1} dual Ginzburg-Landau (DGL) theory as a low-energy effective
theory of Abelian-projected SU(N) gauge theory is formulated in a Weyl
symmetric way. The string tensions of flux-tube solutions of the DGL theory
associated with color-electric charges in various representations of SU(N) are
calculated analytically at the border between type-I and type-II of the dual
superconducting vacuum (Bogomol'nyi limit). The resulting string tensions
satisfy the flux counting rule, which reflects the non-Abelian nature of gauge
theory.
