Abstract
We discuss the gauge symmetry breaking via the Hosotani mechanism by using exact results on supersymmetric gauge theories based on the localization method. We use the theories on S 2 × S 1 Euclidean space, and study how the effective potential for the Wilson line phase varies by running an imaginary chemical potential. In order to break the symmetry, we find that large ℛ-charge is necessary. With such large ℛ-charge, we study the phase structure of the theory. In addition, we observed that a finite size effect on our curved space when we take ℛ-charge is not so large.
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Tanaka, A., Tomiya, A. & Shimotani, T. Symmetry breaking caused by large ℛ-charge. J. High Energ. Phys. 2014, 136 (2014). https://doi.org/10.1007/JHEP10(2014)136
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DOI: https://doi.org/10.1007/JHEP10(2014)136