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- Title
Giant gravitons on AdS × $ \mathbb{C} $P and their holographic three-point functions.
- Authors
Hirano, S.; Kristjansen, C.; Young, D.
- Abstract
We find a simple parametrization of the anti-symmetric giant graviton in AdS × $ \mathbb{C} $P, 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 AdS × $ \mathbb{C} $P. 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.
- Publication
Journal of High Energy Physics, 2012, Vol 2012, Issue 7, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP07(2012)006