Giant Gravitons in the ABJM Duality

Mon, 23/01/2012
12:00
Andrea Prinsloo (University of Cape Town) String Theory Seminar Add to calendar L3
I shall describe the construction of the four-brane giant graviton on $ \mathrm{AdS}_4\times \mathbb{CP}^3 $ (extended and moving in the complex projective space), which is dual to a subdeterminant operator in the ABJM model. This dynamically stable, BPS configuration factorizes at maximum size into two topologically stable four-branes (each wrapped on a different $ \mathbb{CP}^2 \subset \mathbb{CP}^3 $ cycle) dual to ABJM dibaryons. Our study of the spectrum of small fluctuations around this four-brane giant provides good evidence for a dependence in the spectrum on the size, $ \alpha_0 $, which is a direct result of the changing shape of the giant’s worldvolume as it grows in size. I shall finally comment upon the implications for operators in the non-BPS, holomorphic sector of the ABJM model.