E8 Quiver Gauge Theory and Mirror Symmetry
Cecilia Albertsson, Bjorn Brinne, Ulf Lindstrom, Rikard von Unge
Abstract
We show that the Higgs branch of a four-dimensional Yang-Mills theory, with gauge and matter content summarised by an E8 quiver diagram, is identical to the generalised Coulomb branch of a four-dimensional superconformal strongly coupled gauge theory with E8 global symmetry. This is the final step in showing that there is a Higgs-Coulomb identity of this kind for each of the cases 0, A1, A2, D4, E6, E7 and E8. This series of equivalences suggests the existence of a mirror symmetry between the quiver theories and the strongly coupled theories. We also discuss how to interpret the parameters of the quiver gauge theory in terms of the Hanany-Witten picture.
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