Quantum Phases of a Vortex String

Details Quantum Phases of a Vortex String Quantum Phases of a Vortex String

2009-08-31

arxiv.org/abs/0908.4278v2

Phys.Rev.Lett.103:231601,2009

Physics

High Energy Physics

High Energy Physics - Theory

Minor changes; version to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.103.231601

We argue that the world-sheet dynamics of magnetic k-strings in the Higgs phase of the mass-deformed N=4 theory, is controlled by a bosonic O(3) sigma model with anisotropy and a topological theta term. The theory interpolates between a massless O(2) symmetric regime, a massive O(3) symmetric phase and another massive phase with a spontaneously broken Z_2 symmetry. The first two phases are separated by a Kosterlitz-Thouless transition. When \theta = \pi the O(3) symmetric phase flows to an interacting fixed point; sigma model kinks and their dyonic partners become degenerate, mirroring the behaviour of monopoles in the parent gauge theory. This leads to the identification of the kinks with monopoles confined on the string.

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