Giant gravitons: a collective coordinate approach

TL;DR

This paper introduces a collective coordinate approach to analyze giant graviton states, simplifying the understanding of their gauge symmetries and spectra, and connecting to holographic dual descriptions.

Contribution

It presents a novel collective coordinate method that simplifies the study of giant gravitons, their excitations, and emergent gauge symmetries, with connections to holography.

Findings

Reproduces one-loop dispersion relation for giant magnons

Provides a geometric interpretation of the Higgs mechanism in this context

Simplifies calculations of string spectra between giant gravitons

Abstract

In this paper I describe a collective coordinate approach to the study of giant graviton states and their excitations in various field theories. The method simplifies considerably the understanding of emergent gauge symmetry of these configurations, as well as the calculation of the spectrum of strings stretched between the giant gravitons. There is a limit where these results reproduce the one loop dispersion relation for giant magnons. I also show that this method gives rise to a simple geometric interpretation of a Higgs mechanism for the emergent gauge symmetry which parallels the holographic dual realization of these sates: the effective Higgs condensate is the geometric separation of D-branes in the collective coordinate geometry.