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Non-Abelian finite gauge theories

Hanany, A. & He, Y. (1999). Non-Abelian finite gauge theories. Journal of High Energy Physics, 1999(JHEP02), doi: 10.1088/1126-6708/1999/02/013


We study orbifolds of N = 4 U(n) super-Yang-Mills theory given by discrete subgroups of SU(2) and SU(3). We have reached many interesting observations that have graph-theoretic interpretations. For the subgroups of SU(2), we have shown how the matter content agrees with current quiver theories and have offered a possible explanation. In the case of SU(3) we have constructed a catalogue of candidates for finite (chiral) N = 1 theories, giving the gauge group and matter content. Finally, we conjecture a McKay-type correspondence for Gorenstein singularities in dimension 3 with modular invariants of WZW conformal models. This implies a connection between a class of finite N = 1 supersymmetric gauge theories in four dimensions and the classification of affine SU(3) modular invariant partition functions in two dimensions.

Publication Type: Article
Publisher Keywords: Brane Dynamics in Gauge Theories, Conformal Field Models in String Theory
Subjects: Q Science > QC Physics
Departments: School of Science & Technology > Mathematics
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