Giant Gravitons on AdS_4 x CP^3 and their Holographic Three-point Functions

2012 
We find a simple parametrization of the anti-symmetric giant graviton in AdS4×CP 3 , first constructed in (1), dual to the anti-symmetric Schur polynomial involving two bi-fundamental complex scalar fields of ABJM theory. Using this parametrization we evaluate in a semi-classical approach the three-point function of two such giant gravitons and one point-like graviton considering both extremal and non-extremal configurations. We likewise discuss the case of the symmetric giant graviton in AdS4 × CP 3 . Finally, we provide an expression for the planar three-point function of chiral primary operators in ABJM at strong coupling and find that the results for the giant graviton three-point functions reduce to this expression in the point-like limit.
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