TL;DR
This paper investigates the low energy structures of N=1 supersymmetric models with exceptional gauge groups, identifying gauge invariants and challenging previous duality conjectures.
Contribution
It provides a detailed analysis of flat directions and gauge invariants in exceptional SUSY gauge theories, refuting earlier self-duality proposals.
Findings
Identified all gauge invariant composites labeling flat directions.
Showed the impossibility of certain previously conjectured dualities.
Clarified the structure of low energy phases in exceptional gauge theories.
Abstract
The low energy structures of N=1 supersymmetric models with E_6, F_4 and E_7 gauge groups and fundamental irrep matter contents are studied herein. We identify sets of gauge invariant composites which label all flat directions in the confining/Higgs phases of these theories. The impossibility of mapping several of these primary operators rules out previously conjectured exceptional self duals reported in the literature.
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