Non-abelian finite gauge theories View Full Text


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Article Info

DATE

1999-02-17

AUTHORS

Amihay Hanany, Yang-Hui He

ABSTRACT

We study orbifolds of = 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) = 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 = 1 supersymmetric gauge theories in four dimensions and the classification of affine SU(3) modular invariant partition functions in two dimensions. More... »

PAGES

013

Identifiers

URI

http://scigraph.springernature.com/pub.10.1088/1126-6708/1999/02/013

DOI

http://dx.doi.org/10.1088/1126-6708/1999/02/013

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1011039168


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