Probing the Higgs branch of 5d fixed point theories with dual giant gravitons in AdS6

摘要

We consider the warped ( Ad{S_6}times {S^4}/{{mathbb{Z}}_{mathrm{n}}} ) backgrounds dual to certain 5d quiver gauge theories. By studying dual giant gravitons in the AdS 6 geometry we are able to partially probe the Higgs branch of these theories. We show how the quantization of the phase space of such dual giants coincides with the counting of holomorphic functions on ( {{mathbb{C}}^2}/{{mathbb{Z}}_{mathrm{n}}} ), which is the geometric part of the Higgs branch for these theories.