Giant gravitons on AdS(4) x CP3 and their holographic three-point functions

TY - JOUR

T1 - Giant gravitons on AdS(4) x CP3 and their holographic three-point functions

AU - Hirano, Shinji

AU - Kristjansen, Charlotte Fløe

AU - Young, Donovan Michael

PY - 2012/7/1

Y1 - 2012/7/1

N2 - We find a simple parametrization of the anti-symmetric giant graviton in AdS4 ×ℂP3, 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 × ℂP3. 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.

AB - We find a simple parametrization of the anti-symmetric giant graviton in AdS4 ×ℂP3, 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 × ℂP3. 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.

U2 - 10.1007/jhep07(2012)006

DO - 10.1007/jhep07(2012)006

M3 - Journal article

SN - 1126-6708

VL - 2012

SP - 006

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

IS - 7

ER -