The giant graviton on AdS_{4} x CP^{3} - another step towards the emergence of geometry

TL;DR

This paper constructs a giant graviton solution in AdS4 x CP3, explores its dual operator in ABJM theory, and investigates its fluctuation spectrum, revealing size-dependent properties.

Contribution

It presents the first explicit giant graviton configuration in AdS4 x CP3 and analyzes its spectrum, linking geometric size to fluctuation characteristics.

Findings

Giant graviton is energetically degenerate with point graviton.

Spectrum depends on the size of the giant graviton.

Small fluctuation analysis suggests size influences stability and dynamics.

Abstract

We construct the giant graviton on AdS_{4} x CP^{3} out of a four-brane embedded in and moving on the complex projective space. This configuration is dual to the totally anti-symmetric Schur polynomial operator \chi_{R}(A_{1}B_{1}) in the 2+1-dimensional, N = 6 super Chern-Simons ABJM theory. We demonstrate that this BPS solution of the D4-brane action is energetically degenerate with the point graviton solution and initiate a study of its spectrum of small fluctuations. Although the full computation of this spectrum proves to be analytically intractable, by perturbing around a "small'" giant graviton, we find good evidence for a dependence of the spectrum on the size, \alpha_{0}, of the giant. This is a direct result of the changing shape of the worldvolume as it grows in size.