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

String Dynamics, Spontaneous Breaking of * Supersymmetry and Dual Scalar Field Theory Lu-Xin Liu Department of Physics Purdue University West Lafayette, IN 47907, USA liul@physics.purdue.edu Abstract. The dynamics of the vortex string, which describes the Nambu-Goldtone Modes of the spontaneous breaking of the target space D=4, N=1 supersymmetry and internal U(1) R symmetry down to the lower dimensional 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 introducing two vectorial Lagrange multipliers into the string action. * arXiv:0711.4868V3 [hep-th] 1 I. Introduction Topological defects are usually as a result of some forms of symmetry breaking which give rise to non tr