Symmetry breaking caused by large ℛ-charge

Akinori Tanaka, Akio Tomiya, Takuya Shimotani
2014 Journal of High Energy Physics  
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 x 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
more » ... observed that a finite size effect on our curved space when we take R-charge is not so large.
doi:10.1007/jhep10(2014)136 fatcat:ajidzx6d2rb5boi4h6il5bb2bq