E8 Quiver Gauge Theory and Mirror Symmetry
High Energy Physics - Theory
2010-02-03 v2
Abstract
We show that the Higgs branch of a four-dimensional Yang-Mills theory, with gauge and matter content summarised by an E_8 quiver diagram, is identical to the generalised Coulomb branch of a four-dimensional superconformal strongly coupled gauge theory with E_8 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}, A_1, A_2, D_4, E_6, E_7 and E_8. 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.
Keywords
Cite
@article{arxiv.hep-th/0102038,
title = {E8 Quiver Gauge Theory and Mirror Symmetry},
author = {Cecilia Albertsson and Bjorn Brinne and Ulf Lindstrom and Rikard von Unge},
journal= {arXiv preprint arXiv:hep-th/0102038},
year = {2010}
}
Comments
19 pages, 3 figures, references added