The giant graviton on $ Ad{S_4} \times \mathbb{C}{\mathbb{P}^3} $ — Another step towards the emergence of geometry

Dino Giovannoni, Jeff Murugan, Andrea Prinsloo
2011 Journal of High Energy Physics  
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 χ_R(A_1B_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
more » ... 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, α_0, of the giant. This is a direct result of the changing shape of the worldvolume as it grows in size.
doi:10.1007/jhep12(2011)003 fatcat:ndqtvjcjxjchti5arthgttmybm