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Non-Abelian Finite Gauge Theories | | Amihay Hanany
; Yang-Hui He
; | | Date: |
20 Nov 1998 | | Journal: | JHEP 9902 (1999) 013 | | Subject: | hep-th | | Abstract: | We study orbifolds of ${cal N} = 4$ 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) ${cal N}=1$ 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 ${cal N}=1$ supersymmetric gauge theories in four dimensions and the classification of affine SU(3) modular invariant partition functions in two dimensions. | | Source: | arXiv, hep-th/9811183 | | Services: | Forum | Review | PDF | Favorites | |
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