Giant Gravitons on AdS_4 x CP^3 and their Holographic Three-point Functions
arXiv:1205.1959 · doi:10.1007/JHEP07(2012)006
Abstract
We find a simple parametrization of the anti-symmetric giant graviton in AdS_4 x CP^3, first constructed in arXiv:1108.3084 [hep-th], 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_4 x 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.
1+16 pages. v2 added a reference
References in corpus (7)
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- On three-point correlation functions in the gauge/gravity duality
- Three-dimensional N=6 SCFT's and their membrane dynamics
- Holographic three-point functions of giant gravitons
- On semiclassical approximation for correlators of closed string vertex operators in AdS/CFT
- Holographic Correlation Functions for Open Strings and Branes
- Semiclassical four-point functions in AdS_5 x S^5
Cited by in corpus (12)
- Integrable domain walls in ABJM theory
- String integrability of the ABJM defect
- ABJ(M) Chiral Primary Three-Point Function at Two-loops
- On Three-point Functions in the AdS_4/CFT_3 Correspondence
- Orbit Averaging Coherent States: Holographic Three-Point Functions of AdS Giant Gravitons
- Holographic correlators of semiclassical states in defect CFTs
- An Extremal Chiral Primary Three-Point Function at Two-loops in ABJ(M)
- D-branes and Orbit Average
- M2-M5 giant graviton expansions
- Leading finite-size effects on some three-point correlators in AdS_5 x S^5
- Correlation functions of the ABJM model
- Three-Point Functions in ABJM and Bethe Ansatz