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The dynamics of a vortex string, which describes the Nambu-Goldtone modes ofthe spontaneous breakdown of the target space D=4, N=1 supersymmetry andinternal $U(1)_R$ symmetry to the world sheet ISO(1,1) symmetry, is constructedby using the approach of nonlinear realization. The resulting action describingthe low energy oscillations of the string into the covolume (super)space isfound to have an invariant synthesis form of the Akulov-Volkov and Nambu-Gotoactions. Its dual scalar field action is obtained by means of introducing twovectorial Lagrangian multipliers into the action of the string

String Dynamics, Spontaneous Breaking of Supersymmetry and Dual Scalar Field Theory