Probing the Higgs branch of 5d fixed point theories with dual giant gravitons in AdS(6)

TL;DR

This paper explores the Higgs branch of 5d fixed point theories using dual giant gravitons in warped AdS(6) backgrounds, revealing a geometric correspondence with holomorphic functions on C^2/Z_n.

Contribution

It demonstrates how quantizing dual giant gravitons' phase space probes the Higgs branch, linking gravity solutions to geometric structures in gauge theories.

Findings

Quantization matches counting of holomorphic functions on C^2/Z_n

Dual giant gravitons probe the Higgs branch structure

Provides geometric insight into 5d gauge theories

Abstract

We consider the warped AdS(6)xS^4/Z_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 C^2/Z_n, which is the geometric part of the Higgs branch for these theories.