Abstract
We study dynamics of $SU(N\ensuremath{-}4)$ gauge theories with fermions in rank-2 symmetric tensor and $N$ antifundamental representations, by perturbing supersymmetric theories with anomaly-mediated supersymmetry breaking. We find the $SU(N)\ifmmode\times\else\texttimes\fi{}U(1)$ global symmetry is dynamically broken to $SO(N)$ for $N\ensuremath{\ge}17$, a different result from conjectures in the literature. For $N<17$, the theory initially flows to a superconformal fixed point, but is diverted by the soft masses, which act as a relevant perturbation.
Highlights
Understanding the dynamics of strongly coupled chiral gauge theories remains a difficult challenge, as we are lacking effective tools to study them
To explore the predictions of the anomaly mediation of supersymmetry breaking (AMSB) method the step is to apply it to chiral gauge theories. For such theories AMSB will always produce a candidate vacuum structure for the non-SUSY theory that will automatically satisfy all consistency conditions, since it will be continuously connected to the vacuum of the SUSY theory without the AMSB perturbations, yielding a well-defined procedure for generating a candidate vacuum solution to the non-SUSY chiral gauge theories
We have found that the global symmetry breaking pattern is different than initially conjectured based on tumbling: for odd N we found that the global SUðN − 4Þ × Uð1Þ symmetry is broken to SpðN − 5Þ× Uð1Þ, while for the even case to SpðN − 4Þ
Summary
Understanding the dynamics of strongly coupled chiral gauge theories remains a difficult challenge, as we are lacking effective tools to study them. For such theories AMSB will always produce (whenever exact results for the supersymmetric limit is known) a candidate vacuum structure for the non-SUSY theory that will automatically satisfy all consistency conditions, since it will be continuously connected to the vacuum of the SUSY theory without the AMSB perturbations, yielding a well-defined procedure for generating a candidate vacuum solution to the non-SUSY chiral gauge theories This does not automatically imply that we have found the correct ground state of the theory, since one can again not rule out the possibility of a phase transition as the SUSY breaking mass terms are raised above the strong coupling scale. We briefly discuss the case of N ≤ 16, where the supersymmetric theory has an IR fixed point
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