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

التفاصيل البيبلوغرافية
العنوان: The giant graviton on AdS_{4} x CP^{3} - another step towards the emergence of geometry
المؤلفون: Giovannoni, Dino, Murugan, Jeff, Prinsloo, Andrea
سنة النشر: 2011
المجموعة: High Energy Physics - Theory
مصطلحات موضوعية: High Energy Physics - Theory
الوصف: 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.
Comment: 46 pages, 7 figures. Further details added to section 6 - the solutions to the leading order fluctuation equations and the leading order spectrum have been obtained - and additional comments added to the discussion. Additional references added. Mistake in section 2 corrected
نوع الوثيقة: Working Paper
DOI: 10.1007/JHEP12(2011)003
URL الوصول: http://arxiv.org/abs/1108.3084
رقم الأكسشن: edsarx.1108.3084
قاعدة البيانات: arXiv