E8 quiver gauge theory and mirror symmetry | Zendy

Cecilia Albertsson | Zendy; Björn Brinne | Zendy; Ulf Lindström | Zendy; Rikard von Unge | Zendy

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E₈ quiver gauge theory and mirror symmetry

Author(s) -

Cecilia Albertsson,

Björn Brinne,

Ulf Lindström,

Rikard von Unge

Publication year - 2001

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2001/05/021

Subject(s) - quiver , higgs boson , physics , coulomb , gauge theory , supersymmetric gauge theory , symmetry (geometry) , theoretical physics , mirror symmetry , gauge symmetry , mathematical physics , particle physics , quantum mechanics , mathematics , pure mathematics , geometry , electron

We show that the Higgs branch of a four-dimensional Yang-Mills theory, withgauge and matter content summarised by an E_8 quiver diagram, is identical tothe generalised Coulomb branch of a four-dimensional superconformal stronglycoupled gauge theory with E_8 global symmetry. This is the final step inshowing that there is a Higgs-Coulomb identity of this kind for each of thecases {0}, A_1, A_2, D_4, E_6, E_7 and E_8. This series of equivalencessuggests the existence of a mirror symmetry between the quiver theories and thestrongly coupled theories. We also discuss how to interpret the parameters ofthe quiver gauge theory in terms of the Hanany-Witten picture.Comment: 19 pages, 3 figures, references adde

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