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N = 1 Dualities for Exceptional Gauge Groups and Quantum Global Symmetries
Author(s) -
Distler Jacques,
Karch Andreas
Publication year - 1997
Publication title -
fortschritte der physik/progress of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.2190450603
Subject(s) - dual polyhedron , theoretical physics , global symmetry , symmetry (geometry) , gauge symmetry , gauge theory , physics , homogeneous space , quantum , supersymmetric gauge theory , seiberg duality , dual (grammatical number) , gauge (firearms) , duality (order theory) , focus (optics) , gauge group , spontaneous symmetry breaking , gauge anomaly , mathematics , quantum mechanics , pure mathematics , symmetry breaking , geometry , art , literature , archaeology , optics , history
We discuss our attempts to generalize the known examples of dualities in N = 1 supersymmetric gauge theories to exceptional gauge groups. We derive some dual pairs from known examples connected to exceptional groups and find an interesting phenomenon: sometimes the full global symmetry is “hidden” on the magnetic side. It is not realized as a symmetry on the fundamental fields in the Lagrangian. Rather, it emerges as a symmetry of the quantum theory. We then focus on an approach based on self‐dual models. We construct duals for some very special matter content of E 7 , E 6 and F 4 . Again we find that the full global symmetry is not realized on the fundamental fields.