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

Understand

The dynamics of a vortex string, which describes the Nambu-Goldtone modes of the spontaneous breakdown of the target space D=4, N=1 supersymmetry and internal $U(1)_R$ symmetry to the world sheet ISO(1,1) symmetry, is constructed by using the approach of nonlinear realization.

• The resulting action describing the low energy oscillations of the string into the covolume (super)space is found to have an invariant synthesis form of the Akulov-Volkov and Nambu-Goto actions.
• Its dual scalar field action is obtained by means of introducing two vectorial Lagrangian multipliers into the action of the string