Remember Me
Or use your Academic/Social account:


Or use your Academic/Social account:


You have just completed your registration at OpenAire.

Before you can login to the site, you will need to activate your account. An e-mail will be sent to you with the proper instructions.


Please note that this site is currently undergoing Beta testing.
Any new content you create is not guaranteed to be present to the final version of the site upon release.

Thank you for your patience,
OpenAire Dev Team.

Close This Message


Verify Password:
Verify E-mail:
*All Fields Are Required.
Please Verify You Are Human:
fbtwitterlinkedinvimeoflicker grey 14rssslideshare1
Hanany, A.; He, Y. (1999)
Publisher: Institute of Physics
Languages: English
Types: Article
Subjects: QC, High Energy Physics - Theory

Classified by OpenAIRE into

arxiv: High Energy Physics::Theory
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.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • [1] M. Douglas and G. Moore, “D-Branes, Quivers, and ALE Instantons,” hep-th/9603167.
    • [2] M. Douglas and B. Greene, “Metrics on D-brane Orbifolds,” hep-th/9707214.
    • [3] M. Douglas, B. Greene, and D. Morrison, “Orbifold Resolution by D-Branes,” hep[8] A. Hanany and A. Uranga, “Brane Boxes and Branes on Singularities,” hep-th/9805139.
    • [25] J. Lomont, “Applications of Finite Groups,” Academic Press NY 1959.
    • [26] D. Anselmi, M. Bill´o, P. Fr´e, L. Girardello, A. Zaffaroni, “ALE Manifolds and Conformal Field Theories,” hep-th/9304135.
    • [27] GAP 3.4.3 Lehrstuhl D fu¨r Mathematik, http://www.math.rwth-aachen.de∼GAP/WWW/gap.html; Mathematica 2.0.
    • [28] P. di Francesco, P. Mathieu, D. S´en´echal, “Conformal Field Theory,” Springer-Verlag, NY 1997.
    • [29] D. Gepner and E. Witten, “String Theory on Group Manifold,” Nuc. Phys. B278, 493 (1986).
    • [30] D. Bernard and J. Thierry-Mieg, “Bosonic Kac-Moody String Theories,” Phys. Lett. 185B, 65 (1987).
    • [31] P. di Francesco and J.-B. Zuber, “SU (N ) Lattice Integrable Models Associated with Graphs,” Nuclear Physics B, 338, 1990, pp602-646.
    • [32] T. Gannon, “The Classification of SU (m)k Automorphism Invariants,” hep-th/9408119.
    • [33] M. Bauer, A. Coste, C. Itzykson, and P. Ruelle, “Comments on the Links between su(3) Modular Invariants, Simple Factors in the Jacobian of Fermat Curves, and Rational Triangular Billiards,” hep-th/9604104.
    • [34] D.-E. Diaconescu and N. Seiberg, “The Coulomb Branch of (4,4) Supersymmetric Field Theories in 2 Dimensions,” hep-th/9707158.
    • [35] Y. Ito and M. Reid, “The McKay Correspondence for Finite Subgroups of SL(3,C),” alg-geo/9411010.
    • [36] S.-S. Roan, “Minimal Resolutions of Gorenstein Orbifolds in Dimension Three,” Topology, Vol 35, pp489-508, 1996.
  • No related research data.
  • No similar publications.

Share - Bookmark

Cite this article