Dynamics of Strings between Walls

Details Dynamics of Strings between Walls Dynamics of Strings between Walls

2008-10-20

arxiv.org/abs/0810.3495v1

Phys.Rev.D79:045015,2009

Physics

High Energy Physics

High Energy Physics - Theory

48 pages, 9 figures

Scientific paper

10.1103/PhysRevD.79.045015

Configurations of vortex-strings stretched between or ending on domain walls were previously found to be 1/4 Bogomol'nyi-Prasad-Sommerfield(BPS) states in N=2 supersymmetric gauge theories in 3+1 dimensions. Among zero modes of string positions, the center of mass of strings in each region between two adjacent domain walls is shown to be non-normalizable whereas the rests are normalizable. We study dynamics of vortex-strings stretched between separated domain walls by using two methods, the moduli space (geodesic) approximation of full 1/4 BPS states and the charged particle approximation for string endpoints in the wall effective action. In the first method we explicitly obtain the effective Lagrangian, in terms of hypergeometric functions, and find the 90 degree scattering for head-on collision. In the second method the domain wall effective action is assumed to be U(1)^N gauge theory, and we find a good agreement between two methods for well separated strings.

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