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Dynamics of E6 chiral gauge theories

Andrew Goh1,2,*, Hitoshi Murayama1,2,3,†,‡, Gup Singh1,2,§, Bethany Suter1,2,∥, and Jason Wong1,2,¶

  • *Contact author: agoh@berkeley.edu
  • †Contact author: hitoshi@berkeley.edu
  • ‡Hamamatsu Professor.
  • §Contact author: gupsingh@berkeley.edu
  • ∥Contact author: bethany_suter@berkeley.edu
  • Contact author: jtwong71@berkeley.edu
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Phys. Rev. D 112, 045001 – Published 4 August, 2025

DOI: https://doi.org/10.1103/cksl-66x7

Abstract

We present exact nonperturbative vacuum solutions to chiral gauge theories based on the E6 gauge group and several matter fermions in the fundamental 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 27s may have an unbroken SU(3) symmetry with massless composite fermions in 10 of SU(3). For this case, we employed numerical techniques to obtain the exact ground state.

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Phys. Rev. D 112, 045001– Published 4 August, 2025
  • Received 28 May 2025
  • Accepted 5 July 2025
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