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

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Abstract

We construct the giant graviton on \( Ad{S_4} \times \mathbb{C}{\mathbb{P}^3} \) 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 χR(A 1 B 1) in the 2 + 1-dimensional, \( \mathcal{N} = {6} \) 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, α0, of the giant. This is a direct result of the changing shape of the worldvolume as it grows in size.

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Authors and Affiliations

  1. Astrophysics, Cosmology & Gravity Center, Department of Mathematics and Applied Mathematics, University of Cape Town, Private Bag, Rondebosch, 7700, South Africa

    Dino Giovannoni, Jeff Murugan & Andrea Prinsloo

  2. National Institute for Theoretical Physics, Private Bag X1, Matieland, 7602, South Africa

    Jeff Murugan & Andrea Prinsloo

Authors
  1. Dino Giovannoni
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  2. Jeff Murugan
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  3. Andrea Prinsloo
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Correspondence to Andrea Prinsloo.

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ArXiv ePrint: 1108.3084

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Giovannoni, D., Murugan, J. & Prinsloo, A. The giant graviton on \( Ad{S_4} \times \mathbb{C}{\mathbb{P}^3} \) — Another step towards the emergence of geometry. J. High Energ. Phys. 2011, 3 (2011). https://doi.org/10.1007/JHEP12(2011)003

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