Moduli spaces of SO(8) instantons on smooth ALE spaces as Higgs branches of 4d N=2 supersymmetric theories

作者：Tachikawa Yuji^*

来源：The Journal of High Energy Physics, 2014, 2014(6): 1-18.

DOI：10.1007/JHEP06(2014)056

• Supersymmetry and Duality
• String Duality
• Solitons Monopoles and Instantons

The worldvolume theory of D3-branes probing four D7-branes and an O7-plane on C-2/Z(2) is given by a supersymmetric USp x USp gauge theory. We demonstrate that, at least for a particular choice of the holonomy at infinity, we can go to a dual description of the gauge theory, where we can add a Fayet-Iliopoulos term describing the blowing-up of the orbifold to the smooth ALE space. This allows us to express the moduli space of SO(8) instantons on the smooth ALE space as a hyperkahler quotient of a flat space times the Higgs branch of a class S theory. We also discuss a generalization to C-2/Z(2n) , and speculate how to extend the analysis to bigger SO groups and to ALE spaces of other types.

• 出版日期2014-6-10