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Quantum Phases of a Vortex String

Roberto Auzzi, Prem Kumar Orcid Logo

Physical Review Letters, Volume: 103, Issue: 23, Start page: 231601

Swansea University Author: Prem Kumar Orcid Logo

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Abstract

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 θ term. The theory interpolates between a massless O(2) symmetric regime, a massive O(3) symmetric phase, and...

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Published in: Physical Review Letters
ISSN: 0031-9007 1079-7114
Published: 2009
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa1134
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Abstract: 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 θ 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 Z2 symmetry. The first two phases are separated by a Kosterlitz-Thouless transition. When θ=π, the O(3) symmetric phase flows to an interacting fixed point; sigma model kinks and their dyonic partners become degenerate, mirroring the behavior of monopoles in the parent gauge theory. This leads to the identification of the kinks with monopoles confined on the string.
College: Faculty of Science and Engineering
Issue: 23
Start Page: 231601