Kavli Affiliate: Hitoshi Murayama
| First 5 Authors: Andrew Goh, Hitoshi Murayama, Gup Singh, Bethany Suter, Jason Wong
| Summary:
We present exact non-perturbative solutions to chiral gauge theories based on
the $E_6$ gauge group and several matter fermions in the fundamental
$bf{27}$-dimensional representation. They are obtained when supersymmetric
versions are perturbed by small supersymmetry breaking by anomaly mediation.
The universality classes obtained are very different from what can be
conjectured by the tumbling hypothesis. In particular, the case with three
$bf{27}$s may have an unbroken $text{SU}(3)$ symmetry with massless composite
fermions in $bf{10}$ of $text{SU}(3)$. For this case, we employed numerical
techniques to obtain the exact ground state.
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